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Finding the Fourth Proportional to 649.65, 972.15 and 520.48

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Solution

The fourth proportional to 649.65, 972.15 and 520.48 is: 778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.65 : 972.15 = 520.48 : x
  2. Step 2: Convert to fraction form
    649.65/972.15 = 520.48/x
  3. Step 3: Cross multiply
    649.65x = 972.15 × 520.48
  4. Step 4: Simplify right side
    649.65x = 505,981.35
  5. Step 5: Solve for x
    x = 505,981.35/649.65
  6. Step 6: Final answer
    x = 778.86

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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.