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Finding the Fourth Proportional to 928.32, 1,279.98 and 596.76

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Solution

The fourth proportional to 928.32, 1,279.98 and 596.76 is: 822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.32 : 1,279.98 = 596.76 : x
  2. Step 2: Convert to fraction form
    928.32/1,279.98 = 596.76/x
  3. Step 3: Cross multiply
    928.32x = 1,279.98 × 596.76
  4. Step 4: Simplify right side
    928.32x = 763,840.86
  5. Step 5: Solve for x
    x = 763,840.86/928.32
  6. Step 6: Final answer
    x = 822.82

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1.5x scale

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.