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Finding the Fourth Proportional to 939.10, 1,408.65 and 766.30

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Solution

The fourth proportional to 939.10, 1,408.65 and 766.30 is: 1,149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.10 : 1,408.65 = 766.30 : x
  2. Step 2: Convert to fraction form
    939.10/1,408.65 = 766.30/x
  3. Step 3: Cross multiply
    939.10x = 1,408.65 × 766.30
  4. Step 4: Simplify right side
    939.10x = 1,079,448.50
  5. Step 5: Solve for x
    x = 1,079,448.50/939.10
  6. Step 6: Final answer
    x = 1,149.45

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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.