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Finding the Fourth Proportional to 524.91, 787.24 and 261.10

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Solution

The fourth proportional to 524.91, 787.24 and 261.10 is: 391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.91 : 787.24 = 261.10 : x
  2. Step 2: Convert to fraction form
    524.91/787.24 = 261.10/x
  3. Step 3: Cross multiply
    524.91x = 787.24 × 261.10
  4. Step 4: Simplify right side
    524.91x = 205,548.19
  5. Step 5: Solve for x
    x = 205,548.19/524.91
  6. Step 6: Final answer
    x = 391.59

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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.