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Finding the Fourth Proportional to 758.62, 1,138.27 and 466.45

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Solution

The fourth proportional to 758.62, 1,138.27 and 466.45 is: 699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.62 : 1,138.27 = 466.45 : x
  2. Step 2: Convert to fraction form
    758.62/1,138.27 = 466.45/x
  3. Step 3: Cross multiply
    758.62x = 1,138.27 × 466.45
  4. Step 4: Simplify right side
    758.62x = 530,939.34
  5. Step 5: Solve for x
    x = 530,939.34/758.62
  6. Step 6: Final answer
    x = 699.88

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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.