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Finding the Fourth Proportional to 928.46, 1,280.04 and 633.24

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Solution

The fourth proportional to 928.46, 1,280.04 and 633.24 is: 873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.46 : 1,280.04 = 633.24 : x
  2. Step 2: Convert to fraction form
    928.46/1,280.04 = 633.24/x
  3. Step 3: Cross multiply
    928.46x = 1,280.04 × 633.24
  4. Step 4: Simplify right side
    928.46x = 810,572.53
  5. Step 5: Solve for x
    x = 810,572.53/928.46
  6. Step 6: Final answer
    x = 873.03

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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.