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Finding the Fourth Proportional to 1,087.42, 1,630.12 and 393.92

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Solution

The fourth proportional to 1,087.42, 1,630.12 and 393.92 is: 590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.42 : 1,630.12 = 393.92 : x
  2. Step 2: Convert to fraction form
    1,087.42/1,630.12 = 393.92/x
  3. Step 3: Cross multiply
    1,087.42x = 1,630.12 × 393.92
  4. Step 4: Simplify right side
    1,087.42x = 642,136.87
  5. Step 5: Solve for x
    x = 642,136.87/1,087.42
  6. Step 6: Final answer
    x = 590.51

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Double scale
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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.