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Finding the Fourth Proportional to 524.52, 782.85 and 489.96

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Solution

The fourth proportional to 524.52, 782.85 and 489.96 is: 731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 782.85 = 489.96 : x
  2. Step 2: Convert to fraction form
    524.52/782.85 = 489.96/x
  3. Step 3: Cross multiply
    524.52x = 782.85 × 489.96
  4. Step 4: Simplify right side
    524.52x = 383,565.19
  5. Step 5: Solve for x
    x = 383,565.19/524.52
  6. Step 6: Final answer
    x = 731.27

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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.