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Finding the Fourth Proportional to 928.89, 1,282.95 and 617.85

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Solution

The fourth proportional to 928.89, 1,282.95 and 617.85 is: 853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.89 : 1,282.95 = 617.85 : x
  2. Step 2: Convert to fraction form
    928.89/1,282.95 = 617.85/x
  3. Step 3: Cross multiply
    928.89x = 1,282.95 × 617.85
  4. Step 4: Simplify right side
    928.89x = 792,670.66
  5. Step 5: Solve for x
    x = 792,670.66/928.89
  6. Step 6: Final answer
    x = 853.35

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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.