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Finding the Fourth Proportional to 929.17, 1,281.73 and 818.92

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Solution

The fourth proportional to 929.17, 1,281.73 and 818.92 is: 1,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.17 : 1,281.73 = 818.92 : x
  2. Step 2: Convert to fraction form
    929.17/1,281.73 = 818.92/x
  3. Step 3: Cross multiply
    929.17x = 1,281.73 × 818.92
  4. Step 4: Simplify right side
    929.17x = 1,049,634.33
  5. Step 5: Solve for x
    x = 1,049,634.33/929.17
  6. Step 6: Final answer
    x = 1,129.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.