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Finding the Fourth Proportional to 525.38, 787.14 and 319.85

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Solution

The fourth proportional to 525.38, 787.14 and 319.85 is: 479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.38 : 787.14 = 319.85 : x
  2. Step 2: Convert to fraction form
    525.38/787.14 = 319.85/x
  3. Step 3: Cross multiply
    525.38x = 787.14 × 319.85
  4. Step 4: Simplify right side
    525.38x = 251,761.99
  5. Step 5: Solve for x
    x = 251,761.99/525.38
  6. Step 6: Final answer
    x = 479.20

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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.