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Finding the Fourth Proportional to 750.97, 1,037.10 and 503.29

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Solution

The fourth proportional to 750.97, 1,037.10 and 503.29 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.97 : 1,037.10 = 503.29 : x
  2. Step 2: Convert to fraction form
    750.97/1,037.10 = 503.29/x
  3. Step 3: Cross multiply
    750.97x = 1,037.10 × 503.29
  4. Step 4: Simplify right side
    750.97x = 521,962.06
  5. Step 5: Solve for x
    x = 521,962.06/750.97
  6. Step 6: Final answer
    x = 695.05

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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.