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Finding the Fourth Proportional to 866.00, 1,298.25 and 591.27

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Solution

The fourth proportional to 866.00, 1,298.25 and 591.27 is: 886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.00 : 1,298.25 = 591.27 : x
  2. Step 2: Convert to fraction form
    866.00/1,298.25 = 591.27/x
  3. Step 3: Cross multiply
    866.00x = 1,298.25 × 591.27
  4. Step 4: Simplify right side
    866.00x = 767,616.28
  5. Step 5: Solve for x
    x = 767,616.28/866.00
  6. Step 6: Final answer
    x = 886.40

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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.