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Finding the Fourth Proportional to 1,138.95, 1,708.68 and 358.91

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Solution

The fourth proportional to 1,138.95, 1,708.68 and 358.91 is: 538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.95 : 1,708.68 = 358.91 : x
  2. Step 2: Convert to fraction form
    1,138.95/1,708.68 = 358.91/x
  3. Step 3: Cross multiply
    1,138.95x = 1,708.68 × 358.91
  4. Step 4: Simplify right side
    1,138.95x = 613,253.80
  5. Step 5: Solve for x
    x = 613,253.80/1,138.95
  6. Step 6: Final answer
    x = 538.44

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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.