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Finding the Fourth Proportional to 928.72, 1,278.70 and 788.54

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Solution

The fourth proportional to 928.72, 1,278.70 and 788.54 is: 1,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.72 : 1,278.70 = 788.54 : x
  2. Step 2: Convert to fraction form
    928.72/1,278.70 = 788.54/x
  3. Step 3: Cross multiply
    928.72x = 1,278.70 × 788.54
  4. Step 4: Simplify right side
    928.72x = 1,008,306.10
  5. Step 5: Solve for x
    x = 1,008,306.10/928.72
  6. Step 6: Final answer
    x = 1,085.69

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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.