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Finding the Fourth Proportional to 731.08, 1,096.62 and 407.08

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Solution

The fourth proportional to 731.08, 1,096.62 and 407.08 is: 610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.08 : 1,096.62 = 407.08 : x
  2. Step 2: Convert to fraction form
    731.08/1,096.62 = 407.08/x
  3. Step 3: Cross multiply
    731.08x = 1,096.62 × 407.08
  4. Step 4: Simplify right side
    731.08x = 446,412.07
  5. Step 5: Solve for x
    x = 446,412.07/731.08
  6. Step 6: Final answer
    x = 610.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.