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Finding the Fourth Proportional to 649.90, 972.53 and 520.73

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Solution

The fourth proportional to 649.90, 972.53 and 520.73 is: 779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.90 : 972.53 = 520.73 : x
  2. Step 2: Convert to fraction form
    649.90/972.53 = 520.73/x
  3. Step 3: Cross multiply
    649.90x = 972.53 × 520.73
  4. Step 4: Simplify right side
    649.90x = 506,418.08
  5. Step 5: Solve for x
    x = 506,418.08/649.90
  6. Step 6: Final answer
    x = 779.23

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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.