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Finding the Fourth Proportional to 1,646.75, 2,272.36 and 938.63

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Solution

The fourth proportional to 1,646.75, 2,272.36 and 938.63 is: 1,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.75 : 2,272.36 = 938.63 : x
  2. Step 2: Convert to fraction form
    1,646.75/2,272.36 = 938.63/x
  3. Step 3: Cross multiply
    1,646.75x = 2,272.36 × 938.63
  4. Step 4: Simplify right side
    1,646.75x = 2,132,905.27
  5. Step 5: Solve for x
    x = 2,132,905.27/1,646.75
  6. Step 6: Final answer
    x = 1,295.22

Related Problems

Find fourth proportional to 823.38, 1,136.18 and 469.32
Half scale
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Double scale
Find fourth proportional to 1,647.75, 2,273.74 and 939.63
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.