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Finding the Fourth Proportional to 968.01, 1,338.30 and 747.69

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Solution

The fourth proportional to 968.01, 1,338.30 and 747.69 is: 1,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.01 : 1,338.30 = 747.69 : x
  2. Step 2: Convert to fraction form
    968.01/1,338.30 = 747.69/x
  3. Step 3: Cross multiply
    968.01x = 1,338.30 × 747.69
  4. Step 4: Simplify right side
    968.01x = 1,000,633.53
  5. Step 5: Solve for x
    x = 1,000,633.53/968.01
  6. Step 6: Final answer
    x = 1,033.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.