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Finding the Fourth Proportional to 648.86, 972.62 and 472.74

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Solution

The fourth proportional to 648.86, 972.62 and 472.74 is: 708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.86 : 972.62 = 472.74 : x
  2. Step 2: Convert to fraction form
    648.86/972.62 = 472.74/x
  3. Step 3: Cross multiply
    648.86x = 972.62 × 472.74
  4. Step 4: Simplify right side
    648.86x = 459,796.38
  5. Step 5: Solve for x
    x = 459,796.38/648.86
  6. Step 6: Final answer
    x = 708.62

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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.