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Finding the Fourth Proportional to 515.46, 710.17 and 422.21

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Solution

The fourth proportional to 515.46, 710.17 and 422.21 is: 581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.46 : 710.17 = 422.21 : x
  2. Step 2: Convert to fraction form
    515.46/710.17 = 422.21/x
  3. Step 3: Cross multiply
    515.46x = 710.17 × 422.21
  4. Step 4: Simplify right side
    515.46x = 299,841.60
  5. Step 5: Solve for x
    x = 299,841.60/515.46
  6. Step 6: Final answer
    x = 581.69

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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.