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Finding the Fourth Proportional to 758.32, 1,138.16 and 393.36

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Solution

The fourth proportional to 758.32, 1,138.16 and 393.36 is: 590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.32 : 1,138.16 = 393.36 : x
  2. Step 2: Convert to fraction form
    758.32/1,138.16 = 393.36/x
  3. Step 3: Cross multiply
    758.32x = 1,138.16 × 393.36
  4. Step 4: Simplify right side
    758.32x = 447,706.62
  5. Step 5: Solve for x
    x = 447,706.62/758.32
  6. Step 6: Final answer
    x = 590.39

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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.