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Finding the Fourth Proportional to 525.97, 787.23 and 507.52

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Solution

The fourth proportional to 525.97, 787.23 and 507.52 is: 759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.97 : 787.23 = 507.52 : x
  2. Step 2: Convert to fraction form
    525.97/787.23 = 507.52/x
  3. Step 3: Cross multiply
    525.97x = 787.23 × 507.52
  4. Step 4: Simplify right side
    525.97x = 399,534.97
  5. Step 5: Solve for x
    x = 399,534.97/525.97
  6. Step 6: Final answer
    x = 759.62

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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.