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Finding the Fourth Proportional to 866.52, 1,297.04 and 621.86

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Solution

The fourth proportional to 866.52, 1,297.04 and 621.86 is: 930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.52 : 1,297.04 = 621.86 : x
  2. Step 2: Convert to fraction form
    866.52/1,297.04 = 621.86/x
  3. Step 3: Cross multiply
    866.52x = 1,297.04 × 621.86
  4. Step 4: Simplify right side
    866.52x = 806,567.70
  5. Step 5: Solve for x
    x = 806,567.70/866.52
  6. Step 6: Final answer
    x = 930.81

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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.