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Finding the Fourth Proportional to 758.52, 1,139.93 and 450.44

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Solution

The fourth proportional to 758.52, 1,139.93 and 450.44 is: 676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.52 : 1,139.93 = 450.44 : x
  2. Step 2: Convert to fraction form
    758.52/1,139.93 = 450.44/x
  3. Step 3: Cross multiply
    758.52x = 1,139.93 × 450.44
  4. Step 4: Simplify right side
    758.52x = 513,470.07
  5. Step 5: Solve for x
    x = 513,470.07/758.52
  6. Step 6: Final answer
    x = 676.94

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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.