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Finding the Fourth Proportional to 938.70, 1,406.98 and 417.92

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Solution

The fourth proportional to 938.70, 1,406.98 and 417.92 is: 626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.70 : 1,406.98 = 417.92 : x
  2. Step 2: Convert to fraction form
    938.70/1,406.98 = 417.92/x
  3. Step 3: Cross multiply
    938.70x = 1,406.98 × 417.92
  4. Step 4: Simplify right side
    938.70x = 588,005.08
  5. Step 5: Solve for x
    x = 588,005.08/938.70
  6. Step 6: Final answer
    x = 626.40

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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.