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Finding the Fourth Proportional to 928.34, 1,392.58 and 441.86

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Solution

The fourth proportional to 928.34, 1,392.58 and 441.86 is: 662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.34 : 1,392.58 = 441.86 : x
  2. Step 2: Convert to fraction form
    928.34/1,392.58 = 441.86/x
  3. Step 3: Cross multiply
    928.34x = 1,392.58 × 441.86
  4. Step 4: Simplify right side
    928.34x = 615,325.40
  5. Step 5: Solve for x
    x = 615,325.40/928.34
  6. Step 6: Final answer
    x = 662.82

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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.