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Finding the Fourth Proportional to 515.38, 710.40 and 403.15

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Solution

The fourth proportional to 515.38, 710.40 and 403.15 is: 555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.38 : 710.40 = 403.15 : x
  2. Step 2: Convert to fraction form
    515.38/710.40 = 403.15/x
  3. Step 3: Cross multiply
    515.38x = 710.40 × 403.15
  4. Step 4: Simplify right side
    515.38x = 286,397.14
  5. Step 5: Solve for x
    x = 286,397.14/515.38
  6. Step 6: Final answer
    x = 555.70

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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.