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Finding the Fourth Proportional to 929.51, 1,394.56 and 724.78

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Solution

The fourth proportional to 929.51, 1,394.56 and 724.78 is: 1,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.51 : 1,394.56 = 724.78 : x
  2. Step 2: Convert to fraction form
    929.51/1,394.56 = 724.78/x
  3. Step 3: Cross multiply
    929.51x = 1,394.56 × 724.78
  4. Step 4: Simplify right side
    929.51x = 1,010,751.27
  5. Step 5: Solve for x
    x = 1,010,751.27/929.51
  6. Step 6: Final answer
    x = 1,087.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.