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Finding the Fourth Proportional to 1,188.72, 1,640.45 and 664.75

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Solution

The fourth proportional to 1,188.72, 1,640.45 and 664.75 is: 917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.72 : 1,640.45 = 664.75 : x
  2. Step 2: Convert to fraction form
    1,188.72/1,640.45 = 664.75/x
  3. Step 3: Cross multiply
    1,188.72x = 1,640.45 × 664.75
  4. Step 4: Simplify right side
    1,188.72x = 1,090,489.14
  5. Step 5: Solve for x
    x = 1,090,489.14/1,188.72
  6. Step 6: Final answer
    x = 917.36

Related Problems

Find fourth proportional to 594.36, 820.23 and 332.38
Half scale
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Double scale
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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.