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Finding the Fourth Proportional to 929.22, 1,282.28 and 634.56

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Solution

The fourth proportional to 929.22, 1,282.28 and 634.56 is: 875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.22 : 1,282.28 = 634.56 : x
  2. Step 2: Convert to fraction form
    929.22/1,282.28 = 634.56/x
  3. Step 3: Cross multiply
    929.22x = 1,282.28 × 634.56
  4. Step 4: Simplify right side
    929.22x = 813,680.42
  5. Step 5: Solve for x
    x = 813,680.42/929.22
  6. Step 6: Final answer
    x = 875.66

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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.