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Finding the Fourth Proportional to 728.37, 1,085.31 and 651.78

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Solution

The fourth proportional to 728.37, 1,085.31 and 651.78 is: 971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.37 : 1,085.31 = 651.78 : x
  2. Step 2: Convert to fraction form
    728.37/1,085.31 = 651.78/x
  3. Step 3: Cross multiply
    728.37x = 1,085.31 × 651.78
  4. Step 4: Simplify right side
    728.37x = 707,383.35
  5. Step 5: Solve for x
    x = 707,383.35/728.37
  6. Step 6: Final answer
    x = 971.19

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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.