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Finding the Fourth Proportional to 758.31, 1,135.05 and 497.69

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Solution

The fourth proportional to 758.31, 1,135.05 and 497.69 is: 744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.31 : 1,135.05 = 497.69 : x
  2. Step 2: Convert to fraction form
    758.31/1,135.05 = 497.69/x
  3. Step 3: Cross multiply
    758.31x = 1,135.05 × 497.69
  4. Step 4: Simplify right side
    758.31x = 564,903.03
  5. Step 5: Solve for x
    x = 564,903.03/758.31
  6. Step 6: Final answer
    x = 744.95

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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.