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Finding the Fourth Proportional to 1,139.08, 1,708.42 and 317.43

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Solution

The fourth proportional to 1,139.08, 1,708.42 and 317.43 is: 476.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.08 : 1,708.42 = 317.43 : x
  2. Step 2: Convert to fraction form
    1,139.08/1,708.42 = 317.43/x
  3. Step 3: Cross multiply
    1,139.08x = 1,708.42 × 317.43
  4. Step 4: Simplify right side
    1,139.08x = 542,303.76
  5. Step 5: Solve for x
    x = 542,303.76/1,139.08
  6. Step 6: Final answer
    x = 476.09

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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.