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Finding the Fourth Proportional to 939.90, 1,411.20 and 734.70

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Solution

The fourth proportional to 939.90, 1,411.20 and 734.70 is: 1,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.90 : 1,411.20 = 734.70 : x
  2. Step 2: Convert to fraction form
    939.90/1,411.20 = 734.70/x
  3. Step 3: Cross multiply
    939.90x = 1,411.20 × 734.70
  4. Step 4: Simplify right side
    939.90x = 1,036,808.64
  5. Step 5: Solve for x
    x = 1,036,808.64/939.90
  6. Step 6: Final answer
    x = 1,103.11

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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.