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Finding the Fourth Proportional to 731.18, 1,008.49 and 436.25

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Solution

The fourth proportional to 731.18, 1,008.49 and 436.25 is: 601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.18 : 1,008.49 = 436.25 : x
  2. Step 2: Convert to fraction form
    731.18/1,008.49 = 436.25/x
  3. Step 3: Cross multiply
    731.18x = 1,008.49 × 436.25
  4. Step 4: Simplify right side
    731.18x = 439,953.76
  5. Step 5: Solve for x
    x = 439,953.76/731.18
  6. Step 6: Final answer
    x = 601.70

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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.