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Finding the Fourth Proportional to 1,127.28, 1,690.86 and 305.52

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Solution

The fourth proportional to 1,127.28, 1,690.86 and 305.52 is: 458.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.28 : 1,690.86 = 305.52 : x
  2. Step 2: Convert to fraction form
    1,127.28/1,690.86 = 305.52/x
  3. Step 3: Cross multiply
    1,127.28x = 1,690.86 × 305.52
  4. Step 4: Simplify right side
    1,127.28x = 516,591.55
  5. Step 5: Solve for x
    x = 516,591.55/1,127.28
  6. Step 6: Final answer
    x = 458.26

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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.