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Finding the Fourth Proportional to 732.45, 1,098.50 and 212.33

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Solution

The fourth proportional to 732.45, 1,098.50 and 212.33 is: 318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.45 : 1,098.50 = 212.33 : x
  2. Step 2: Convert to fraction form
    732.45/1,098.50 = 212.33/x
  3. Step 3: Cross multiply
    732.45x = 1,098.50 × 212.33
  4. Step 4: Simplify right side
    732.45x = 233,244.51
  5. Step 5: Solve for x
    x = 233,244.51/732.45
  6. Step 6: Final answer
    x = 318.45

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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.