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Finding the Fourth Proportional to 886.23, 1,329.35 and 861.93

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Solution

The fourth proportional to 886.23, 1,329.35 and 861.93 is: 1,292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.23 : 1,329.35 = 861.93 : x
  2. Step 2: Convert to fraction form
    886.23/1,329.35 = 861.93/x
  3. Step 3: Cross multiply
    886.23x = 1,329.35 × 861.93
  4. Step 4: Simplify right side
    886.23x = 1,145,802.34
  5. Step 5: Solve for x
    x = 1,145,802.34/886.23
  6. Step 6: Final answer
    x = 1,292.90

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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.