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Finding the Fourth Proportional to 787.24, 1,084.84 and 521.38

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Solution

The fourth proportional to 787.24, 1,084.84 and 521.38 is: 718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.24 : 1,084.84 = 521.38 : x
  2. Step 2: Convert to fraction form
    787.24/1,084.84 = 521.38/x
  3. Step 3: Cross multiply
    787.24x = 1,084.84 × 521.38
  4. Step 4: Simplify right side
    787.24x = 565,613.88
  5. Step 5: Solve for x
    x = 565,613.88/787.24
  6. Step 6: Final answer
    x = 718.48

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Double scale
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1.5x scale

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.