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Finding the Fourth Proportional to 942.78, 1,292.57 and 928.44

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Solution

The fourth proportional to 942.78, 1,292.57 and 928.44 is: 1,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.78 : 1,292.57 = 928.44 : x
  2. Step 2: Convert to fraction form
    942.78/1,292.57 = 928.44/x
  3. Step 3: Cross multiply
    942.78x = 1,292.57 × 928.44
  4. Step 4: Simplify right side
    942.78x = 1,200,073.69
  5. Step 5: Solve for x
    x = 1,200,073.69/942.78
  6. Step 6: Final answer
    x = 1,272.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.