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Finding the Fourth Proportional to 928.96, 1,282.82 and 597.95

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Solution

The fourth proportional to 928.96, 1,282.82 and 597.95 is: 825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.96 : 1,282.82 = 597.95 : x
  2. Step 2: Convert to fraction form
    928.96/1,282.82 = 597.95/x
  3. Step 3: Cross multiply
    928.96x = 1,282.82 × 597.95
  4. Step 4: Simplify right side
    928.96x = 767,059.23
  5. Step 5: Solve for x
    x = 767,059.23/928.96
  6. Step 6: Final answer
    x = 825.72

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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.