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Finding the Fourth Proportional to 886.65, 1,327.24 and 711.69

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Solution

The fourth proportional to 886.65, 1,327.24 and 711.69 is: 1,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.65 : 1,327.24 = 711.69 : x
  2. Step 2: Convert to fraction form
    886.65/1,327.24 = 711.69/x
  3. Step 3: Cross multiply
    886.65x = 1,327.24 × 711.69
  4. Step 4: Simplify right side
    886.65x = 944,575.34
  5. Step 5: Solve for x
    x = 944,575.34/886.65
  6. Step 6: Final answer
    x = 1,065.34

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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.