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Finding the Fourth Proportional to 1,049.52, 1,566.08 and 940.20

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Solution

The fourth proportional to 1,049.52, 1,566.08 and 940.20 is: 1,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.52 : 1,566.08 = 940.20 : x
  2. Step 2: Convert to fraction form
    1,049.52/1,566.08 = 940.20/x
  3. Step 3: Cross multiply
    1,049.52x = 1,566.08 × 940.20
  4. Step 4: Simplify right side
    1,049.52x = 1,472,428.42
  5. Step 5: Solve for x
    x = 1,472,428.42/1,049.52
  6. Step 6: Final answer
    x = 1,402.95

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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.