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Finding the Fourth Proportional to 515.42, 773.13 and 509.30

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Solution

The fourth proportional to 515.42, 773.13 and 509.30 is: 763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.42 : 773.13 = 509.30 : x
  2. Step 2: Convert to fraction form
    515.42/773.13 = 509.30/x
  3. Step 3: Cross multiply
    515.42x = 773.13 × 509.30
  4. Step 4: Simplify right side
    515.42x = 393,755.11
  5. Step 5: Solve for x
    x = 393,755.11/515.42
  6. Step 6: Final answer
    x = 763.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.