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Finding the Fourth Proportional to 1,646.50, 2,272.14 and 983.50

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Solution

The fourth proportional to 1,646.50, 2,272.14 and 983.50 is: 1,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.50 : 2,272.14 = 983.50 : x
  2. Step 2: Convert to fraction form
    1,646.50/2,272.14 = 983.50/x
  3. Step 3: Cross multiply
    1,646.50x = 2,272.14 × 983.50
  4. Step 4: Simplify right side
    1,646.50x = 2,234,649.69
  5. Step 5: Solve for x
    x = 2,234,649.69/1,646.50
  6. Step 6: Final answer
    x = 1,357.21

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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.