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Finding the Fourth Proportional to 731.75, 1,009.82 and 421.25

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Solution

The fourth proportional to 731.75, 1,009.82 and 421.25 is: 581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.75 : 1,009.82 = 421.25 : x
  2. Step 2: Convert to fraction form
    731.75/1,009.82 = 421.25/x
  3. Step 3: Cross multiply
    731.75x = 1,009.82 × 421.25
  4. Step 4: Simplify right side
    731.75x = 425,386.68
  5. Step 5: Solve for x
    x = 425,386.68/731.75
  6. Step 6: Final answer
    x = 581.33

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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.