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Finding the Fourth Proportional to 869.23, 1,304.54 and 766.72

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Solution

The fourth proportional to 869.23, 1,304.54 and 766.72 is: 1,150.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.23 : 1,304.54 = 766.72 : x
  2. Step 2: Convert to fraction form
    869.23/1,304.54 = 766.72/x
  3. Step 3: Cross multiply
    869.23x = 1,304.54 × 766.72
  4. Step 4: Simplify right side
    869.23x = 1,000,216.91
  5. Step 5: Solve for x
    x = 1,000,216.91/869.23
  6. Step 6: Final answer
    x = 1,150.69

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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.