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Finding the Fourth Proportional to 928.45, 1,387.40 and 817.48

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Solution

The fourth proportional to 928.45, 1,387.40 and 817.48 is: 1,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.45 : 1,387.40 = 817.48 : x
  2. Step 2: Convert to fraction form
    928.45/1,387.40 = 817.48/x
  3. Step 3: Cross multiply
    928.45x = 1,387.40 × 817.48
  4. Step 4: Simplify right side
    928.45x = 1,134,171.75
  5. Step 5: Solve for x
    x = 1,134,171.75/928.45
  6. Step 6: Final answer
    x = 1,221.58

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1.5x scale

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.