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Finding the Fourth Proportional to 930.97, 1,393.73 and 491.18

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Solution

The fourth proportional to 930.97, 1,393.73 and 491.18 is: 735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.97 : 1,393.73 = 491.18 : x
  2. Step 2: Convert to fraction form
    930.97/1,393.73 = 491.18/x
  3. Step 3: Cross multiply
    930.97x = 1,393.73 × 491.18
  4. Step 4: Simplify right side
    930.97x = 684,572.30
  5. Step 5: Solve for x
    x = 684,572.30/930.97
  6. Step 6: Final answer
    x = 735.33

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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.