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Finding the Fourth Proportional to 928.06, 1,385.32 and 859.54

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Solution

The fourth proportional to 928.06, 1,385.32 and 859.54 is: 1,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.06 : 1,385.32 = 859.54 : x
  2. Step 2: Convert to fraction form
    928.06/1,385.32 = 859.54/x
  3. Step 3: Cross multiply
    928.06x = 1,385.32 × 859.54
  4. Step 4: Simplify right side
    928.06x = 1,190,733.66
  5. Step 5: Solve for x
    x = 1,190,733.66/928.06
  6. Step 6: Final answer
    x = 1,283.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.