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Finding the Fourth Proportional to 524.95, 787.12 and 438.82

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Solution

The fourth proportional to 524.95, 787.12 and 438.82 is: 657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.95 : 787.12 = 438.82 : x
  2. Step 2: Convert to fraction form
    524.95/787.12 = 438.82/x
  3. Step 3: Cross multiply
    524.95x = 787.12 × 438.82
  4. Step 4: Simplify right side
    524.95x = 345,400.93
  5. Step 5: Solve for x
    x = 345,400.93/524.95
  6. Step 6: Final answer
    x = 657.97

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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.