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Finding the Fourth Proportional to 928.44, 1,380.70 and 899.23

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Solution

The fourth proportional to 928.44, 1,380.70 and 899.23 is: 1,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.44 : 1,380.70 = 899.23 : x
  2. Step 2: Convert to fraction form
    928.44/1,380.70 = 899.23/x
  3. Step 3: Cross multiply
    928.44x = 1,380.70 × 899.23
  4. Step 4: Simplify right side
    928.44x = 1,241,566.86
  5. Step 5: Solve for x
    x = 1,241,566.86/928.44
  6. Step 6: Final answer
    x = 1,337.26

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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.