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Finding the Fourth Proportional to 758.79, 1,138.64 and 393.71

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Solution

The fourth proportional to 758.79, 1,138.64 and 393.71 is: 590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.79 : 1,138.64 = 393.71 : x
  2. Step 2: Convert to fraction form
    758.79/1,138.64 = 393.71/x
  3. Step 3: Cross multiply
    758.79x = 1,138.64 × 393.71
  4. Step 4: Simplify right side
    758.79x = 448,286.29
  5. Step 5: Solve for x
    x = 448,286.29/758.79
  6. Step 6: Final answer
    x = 590.79

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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.