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Finding the Fourth Proportional to 816.46, 1,218.41 and 747.34

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Solution

The fourth proportional to 816.46, 1,218.41 and 747.34 is: 1,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.46 : 1,218.41 = 747.34 : x
  2. Step 2: Convert to fraction form
    816.46/1,218.41 = 747.34/x
  3. Step 3: Cross multiply
    816.46x = 1,218.41 × 747.34
  4. Step 4: Simplify right side
    816.46x = 910,566.53
  5. Step 5: Solve for x
    x = 910,566.53/816.46
  6. Step 6: Final answer
    x = 1,115.26

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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.