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Finding the Fourth Proportional to 732.36, 1,009.74 and 614.79

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Solution

The fourth proportional to 732.36, 1,009.74 and 614.79 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.36 : 1,009.74 = 614.79 : x
  2. Step 2: Convert to fraction form
    732.36/1,009.74 = 614.79/x
  3. Step 3: Cross multiply
    732.36x = 1,009.74 × 614.79
  4. Step 4: Simplify right side
    732.36x = 620,778.05
  5. Step 5: Solve for x
    x = 620,778.05/732.36
  6. Step 6: Final answer
    x = 847.64

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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.