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Finding the Fourth Proportional to 1,057.12, 1,585.31 and 440.71

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Solution

The fourth proportional to 1,057.12, 1,585.31 and 440.71 is: 660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.12 : 1,585.31 = 440.71 : x
  2. Step 2: Convert to fraction form
    1,057.12/1,585.31 = 440.71/x
  3. Step 3: Cross multiply
    1,057.12x = 1,585.31 × 440.71
  4. Step 4: Simplify right side
    1,057.12x = 698,655.80
  5. Step 5: Solve for x
    x = 698,655.80/1,057.12
  6. Step 6: Final answer
    x = 660.91

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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.