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Finding the Fourth Proportional to 928.17, 1,382.55 and 886.05

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Solution

The fourth proportional to 928.17, 1,382.55 and 886.05 is: 1,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.17 : 1,382.55 = 886.05 : x
  2. Step 2: Convert to fraction form
    928.17/1,382.55 = 886.05/x
  3. Step 3: Cross multiply
    928.17x = 1,382.55 × 886.05
  4. Step 4: Simplify right side
    928.17x = 1,225,008.43
  5. Step 5: Solve for x
    x = 1,225,008.43/928.17
  6. Step 6: Final answer
    x = 1,319.81

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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.