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Finding the Fourth Proportional to 524.31, 782.04 and 442.59

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Solution

The fourth proportional to 524.31, 782.04 and 442.59 is: 660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.31 : 782.04 = 442.59 : x
  2. Step 2: Convert to fraction form
    524.31/782.04 = 442.59/x
  3. Step 3: Cross multiply
    524.31x = 782.04 × 442.59
  4. Step 4: Simplify right side
    524.31x = 346,123.08
  5. Step 5: Solve for x
    x = 346,123.08/524.31
  6. Step 6: Final answer
    x = 660.15

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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.