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Finding the Fourth Proportional to 906.55, 1,359.27 and 495.11

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Solution

The fourth proportional to 906.55, 1,359.27 and 495.11 is: 742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.55 : 1,359.27 = 495.11 : x
  2. Step 2: Convert to fraction form
    906.55/1,359.27 = 495.11/x
  3. Step 3: Cross multiply
    906.55x = 1,359.27 × 495.11
  4. Step 4: Simplify right side
    906.55x = 672,988.17
  5. Step 5: Solve for x
    x = 672,988.17/906.55
  6. Step 6: Final answer
    x = 742.36

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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.