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Finding the Fourth Proportional to 928.32, 1,393.02 and 495.72

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Solution

The fourth proportional to 928.32, 1,393.02 and 495.72 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.32 : 1,393.02 = 495.72 : x
  2. Step 2: Convert to fraction form
    928.32/1,393.02 = 495.72/x
  3. Step 3: Cross multiply
    928.32x = 1,393.02 × 495.72
  4. Step 4: Simplify right side
    928.32x = 690,547.87
  5. Step 5: Solve for x
    x = 690,547.87/928.32
  6. Step 6: Final answer
    x = 743.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.