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Finding the Fourth Proportional to 930.20, 1,393.27 and 713.52

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Solution

The fourth proportional to 930.20, 1,393.27 and 713.52 is: 1,068.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.20 : 1,393.27 = 713.52 : x
  2. Step 2: Convert to fraction form
    930.20/1,393.27 = 713.52/x
  3. Step 3: Cross multiply
    930.20x = 1,393.27 × 713.52
  4. Step 4: Simplify right side
    930.20x = 994,124.23
  5. Step 5: Solve for x
    x = 994,124.23/930.20
  6. Step 6: Final answer
    x = 1,068.73

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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.