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Finding the Fourth Proportional to 758.02, 1,139.17 and 449.93

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Solution

The fourth proportional to 758.02, 1,139.17 and 449.93 is: 676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.02 : 1,139.17 = 449.93 : x
  2. Step 2: Convert to fraction form
    758.02/1,139.17 = 449.93/x
  3. Step 3: Cross multiply
    758.02x = 1,139.17 × 449.93
  4. Step 4: Simplify right side
    758.02x = 512,546.76
  5. Step 5: Solve for x
    x = 512,546.76/758.02
  6. Step 6: Final answer
    x = 676.17

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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.