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Finding the Fourth Proportional to 731.14, 1,008.58 and 436.35

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Solution

The fourth proportional to 731.14, 1,008.58 and 436.35 is: 601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.14 : 1,008.58 = 436.35 : x
  2. Step 2: Convert to fraction form
    731.14/1,008.58 = 436.35/x
  3. Step 3: Cross multiply
    731.14x = 1,008.58 × 436.35
  4. Step 4: Simplify right side
    731.14x = 440,093.88
  5. Step 5: Solve for x
    x = 440,093.88/731.14
  6. Step 6: Final answer
    x = 601.93

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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.