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Finding the Fourth Proportional to 928.67, 1,392.80 and 459.68

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Solution

The fourth proportional to 928.67, 1,392.80 and 459.68 is: 689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.67 : 1,392.80 = 459.68 : x
  2. Step 2: Convert to fraction form
    928.67/1,392.80 = 459.68/x
  3. Step 3: Cross multiply
    928.67x = 1,392.80 × 459.68
  4. Step 4: Simplify right side
    928.67x = 640,233.04
  5. Step 5: Solve for x
    x = 640,233.04/928.67
  6. Step 6: Final answer
    x = 689.41

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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.