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Finding the Fourth Proportional to 731.42, 1,009.19 and 436.63

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Solution

The fourth proportional to 731.42, 1,009.19 and 436.63 is: 602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.42 : 1,009.19 = 436.63 : x
  2. Step 2: Convert to fraction form
    731.42/1,009.19 = 436.63/x
  3. Step 3: Cross multiply
    731.42x = 1,009.19 × 436.63
  4. Step 4: Simplify right side
    731.42x = 440,635.40
  5. Step 5: Solve for x
    x = 440,635.40/731.42
  6. Step 6: Final answer
    x = 602.44

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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.