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Finding the Fourth Proportional to 930.63, 1,394.65 and 724.26

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Solution

The fourth proportional to 930.63, 1,394.65 and 724.26 is: 1,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.63 : 1,394.65 = 724.26 : x
  2. Step 2: Convert to fraction form
    930.63/1,394.65 = 724.26/x
  3. Step 3: Cross multiply
    930.63x = 1,394.65 × 724.26
  4. Step 4: Simplify right side
    930.63x = 1,010,089.21
  5. Step 5: Solve for x
    x = 1,010,089.21/930.63
  6. Step 6: Final answer
    x = 1,085.38

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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.