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Finding the Fourth Proportional to 731.98, 1,098.48 and 321.40

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Solution

The fourth proportional to 731.98, 1,098.48 and 321.40 is: 482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.98 : 1,098.48 = 321.40 : x
  2. Step 2: Convert to fraction form
    731.98/1,098.48 = 321.40/x
  3. Step 3: Cross multiply
    731.98x = 1,098.48 × 321.40
  4. Step 4: Simplify right side
    731.98x = 353,051.47
  5. Step 5: Solve for x
    x = 353,051.47/731.98
  6. Step 6: Final answer
    x = 482.32

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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.