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Finding the Fourth Proportional to 738.14, 1,017.68 and 561.29

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Solution

The fourth proportional to 738.14, 1,017.68 and 561.29 is: 773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.14 : 1,017.68 = 561.29 : x
  2. Step 2: Convert to fraction form
    738.14/1,017.68 = 561.29/x
  3. Step 3: Cross multiply
    738.14x = 1,017.68 × 561.29
  4. Step 4: Simplify right side
    738.14x = 571,205.71
  5. Step 5: Solve for x
    x = 571,205.71/738.14
  6. Step 6: Final answer
    x = 773.85

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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.