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Finding the Fourth Proportional to 524.27, 781.21 and 466.85

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Solution

The fourth proportional to 524.27, 781.21 and 466.85 is: 695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.27 : 781.21 = 466.85 : x
  2. Step 2: Convert to fraction form
    524.27/781.21 = 466.85/x
  3. Step 3: Cross multiply
    524.27x = 781.21 × 466.85
  4. Step 4: Simplify right side
    524.27x = 364,707.89
  5. Step 5: Solve for x
    x = 364,707.89/524.27
  6. Step 6: Final answer
    x = 695.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.