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Finding the Fourth Proportional to 866.27, 1,298.90 and 515.02

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Solution

The fourth proportional to 866.27, 1,298.90 and 515.02 is: 772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.27 : 1,298.90 = 515.02 : x
  2. Step 2: Convert to fraction form
    866.27/1,298.90 = 515.02/x
  3. Step 3: Cross multiply
    866.27x = 1,298.90 × 515.02
  4. Step 4: Simplify right side
    866.27x = 668,956.23
  5. Step 5: Solve for x
    x = 668,956.23/866.27
  6. Step 6: Final answer
    x = 772.23

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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.