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Finding the Fourth Proportional to 866.13, 1,299.64 and 476.43

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Solution

The fourth proportional to 866.13, 1,299.64 and 476.43 is: 714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.13 : 1,299.64 = 476.43 : x
  2. Step 2: Convert to fraction form
    866.13/1,299.64 = 476.43/x
  3. Step 3: Cross multiply
    866.13x = 1,299.64 × 476.43
  4. Step 4: Simplify right side
    866.13x = 619,191.94
  5. Step 5: Solve for x
    x = 619,191.94/866.13
  6. Step 6: Final answer
    x = 714.90

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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.