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Finding the Fourth Proportional to 866.02, 1,292.17 and 813.50

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Solution

The fourth proportional to 866.02, 1,292.17 and 813.50 is: 1,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.02 : 1,292.17 = 813.50 : x
  2. Step 2: Convert to fraction form
    866.02/1,292.17 = 813.50/x
  3. Step 3: Cross multiply
    866.02x = 1,292.17 × 813.50
  4. Step 4: Simplify right side
    866.02x = 1,051,180.30
  5. Step 5: Solve for x
    x = 1,051,180.30/866.02
  6. Step 6: Final answer
    x = 1,213.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.