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Finding the Fourth Proportional to 713.92, 1,070.02 and 367.42

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Solution

The fourth proportional to 713.92, 1,070.02 and 367.42 is: 550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.92 : 1,070.02 = 367.42 : x
  2. Step 2: Convert to fraction form
    713.92/1,070.02 = 367.42/x
  3. Step 3: Cross multiply
    713.92x = 1,070.02 × 367.42
  4. Step 4: Simplify right side
    713.92x = 393,143.15
  5. Step 5: Solve for x
    x = 393,143.15/713.92
  6. Step 6: Final answer
    x = 550.68

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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.