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Finding the Fourth Proportional to 939.92, 1,409.12 and 392.50

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Solution

The fourth proportional to 939.92, 1,409.12 and 392.50 is: 588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.92 : 1,409.12 = 392.50 : x
  2. Step 2: Convert to fraction form
    939.92/1,409.12 = 392.50/x
  3. Step 3: Cross multiply
    939.92x = 1,409.12 × 392.50
  4. Step 4: Simplify right side
    939.92x = 553,070.59
  5. Step 5: Solve for x
    x = 553,070.59/939.92
  6. Step 6: Final answer
    x = 588.42

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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.