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Finding the Fourth Proportional to 816.24, 1,217.58 and 766.56

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Solution

The fourth proportional to 816.24, 1,217.58 and 766.56 is: 1,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.24 : 1,217.58 = 766.56 : x
  2. Step 2: Convert to fraction form
    816.24/1,217.58 = 766.56/x
  3. Step 3: Cross multiply
    816.24x = 1,217.58 × 766.56
  4. Step 4: Simplify right side
    816.24x = 933,348.12
  5. Step 5: Solve for x
    x = 933,348.12/816.24
  6. Step 6: Final answer
    x = 1,143.47

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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.