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Finding the Fourth Proportional to 732.23, 1,009.22 and 613.77

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Solution

The fourth proportional to 732.23, 1,009.22 and 613.77 is: 845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.23 : 1,009.22 = 613.77 : x
  2. Step 2: Convert to fraction form
    732.23/1,009.22 = 613.77/x
  3. Step 3: Cross multiply
    732.23x = 1,009.22 × 613.77
  4. Step 4: Simplify right side
    732.23x = 619,428.96
  5. Step 5: Solve for x
    x = 619,428.96/732.23
  6. Step 6: Final answer
    x = 845.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.