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Finding the Fourth Proportional to 758.42, 1,046.63 and 422.35

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Solution

The fourth proportional to 758.42, 1,046.63 and 422.35 is: 582.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.42 : 1,046.63 = 422.35 : x
  2. Step 2: Convert to fraction form
    758.42/1,046.63 = 422.35/x
  3. Step 3: Cross multiply
    758.42x = 1,046.63 × 422.35
  4. Step 4: Simplify right side
    758.42x = 442,044.18
  5. Step 5: Solve for x
    x = 442,044.18/758.42
  6. Step 6: Final answer
    x = 582.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.