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Finding the Fourth Proportional to 510.52, 703.78 and 363.10

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Solution

The fourth proportional to 510.52, 703.78 and 363.10 is: 500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.52 : 703.78 = 363.10 : x
  2. Step 2: Convert to fraction form
    510.52/703.78 = 363.10/x
  3. Step 3: Cross multiply
    510.52x = 703.78 × 363.10
  4. Step 4: Simplify right side
    510.52x = 255,542.52
  5. Step 5: Solve for x
    x = 255,542.52/510.52
  6. Step 6: Final answer
    x = 500.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.