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Finding the Fourth Proportional to 886.14, 1,327.68 and 612.18

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Solution

The fourth proportional to 886.14, 1,327.68 and 612.18 is: 917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.14 : 1,327.68 = 612.18 : x
  2. Step 2: Convert to fraction form
    886.14/1,327.68 = 612.18/x
  3. Step 3: Cross multiply
    886.14x = 1,327.68 × 612.18
  4. Step 4: Simplify right side
    886.14x = 812,779.14
  5. Step 5: Solve for x
    x = 812,779.14/886.14
  6. Step 6: Final answer
    x = 917.21

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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.