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Finding the Fourth Proportional to 761.50, 1,134.68 and 679.75

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Solution

The fourth proportional to 761.50, 1,134.68 and 679.75 is: 1,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.50 : 1,134.68 = 679.75 : x
  2. Step 2: Convert to fraction form
    761.50/1,134.68 = 679.75/x
  3. Step 3: Cross multiply
    761.50x = 1,134.68 × 679.75
  4. Step 4: Simplify right side
    761.50x = 771,298.73
  5. Step 5: Solve for x
    x = 771,298.73/761.50
  6. Step 6: Final answer
    x = 1,012.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.