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Finding the Fourth Proportional to 515.30, 710.16 and 421.73

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Solution

The fourth proportional to 515.30, 710.16 and 421.73 is: 581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.30 : 710.16 = 421.73 : x
  2. Step 2: Convert to fraction form
    515.30/710.16 = 421.73/x
  3. Step 3: Cross multiply
    515.30x = 710.16 × 421.73
  4. Step 4: Simplify right side
    515.30x = 299,495.78
  5. Step 5: Solve for x
    x = 299,495.78/515.30
  6. Step 6: Final answer
    x = 581.21

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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.