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Finding the Fourth Proportional to 521.59, 715.13 and 512.41

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Solution

The fourth proportional to 521.59, 715.13 and 512.41 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.59 : 715.13 = 512.41 : x
  2. Step 2: Convert to fraction form
    521.59/715.13 = 512.41/x
  3. Step 3: Cross multiply
    521.59x = 715.13 × 512.41
  4. Step 4: Simplify right side
    521.59x = 366,439.76
  5. Step 5: Solve for x
    x = 366,439.76/521.59
  6. Step 6: Final answer
    x = 702.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.