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Finding the Fourth Proportional to 731.27, 1,009.10 and 436.48

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Solution

The fourth proportional to 731.27, 1,009.10 and 436.48 is: 602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.27 : 1,009.10 = 436.48 : x
  2. Step 2: Convert to fraction form
    731.27/1,009.10 = 436.48/x
  3. Step 3: Cross multiply
    731.27x = 1,009.10 × 436.48
  4. Step 4: Simplify right side
    731.27x = 440,450.54
  5. Step 5: Solve for x
    x = 440,450.54/731.27
  6. Step 6: Final answer
    x = 602.31

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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.