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Finding the Fourth Proportional to 731.68, 1,098.14 and 321.16

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Solution

The fourth proportional to 731.68, 1,098.14 and 321.16 is: 482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.68 : 1,098.14 = 321.16 : x
  2. Step 2: Convert to fraction form
    731.68/1,098.14 = 321.16/x
  3. Step 3: Cross multiply
    731.68x = 1,098.14 × 321.16
  4. Step 4: Simplify right side
    731.68x = 352,678.64
  5. Step 5: Solve for x
    x = 352,678.64/731.68
  6. Step 6: Final answer
    x = 482.01

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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.