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Finding the Fourth Proportional to 932.05, 1,387.43 and 918.21

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Solution

The fourth proportional to 932.05, 1,387.43 and 918.21 is: 1,366.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.05 : 1,387.43 = 918.21 : x
  2. Step 2: Convert to fraction form
    932.05/1,387.43 = 918.21/x
  3. Step 3: Cross multiply
    932.05x = 1,387.43 × 918.21
  4. Step 4: Simplify right side
    932.05x = 1,273,952.10
  5. Step 5: Solve for x
    x = 1,273,952.10/932.05
  6. Step 6: Final answer
    x = 1,366.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.