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Finding the Fourth Proportional to 787.74, 1,086.62 and 525.92

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Solution

The fourth proportional to 787.74, 1,086.62 and 525.92 is: 725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.74 : 1,086.62 = 525.92 : x
  2. Step 2: Convert to fraction form
    787.74/1,086.62 = 525.92/x
  3. Step 3: Cross multiply
    787.74x = 1,086.62 × 525.92
  4. Step 4: Simplify right side
    787.74x = 571,475.19
  5. Step 5: Solve for x
    x = 571,475.19/787.74
  6. Step 6: Final answer
    x = 725.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.