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Finding the Fourth Proportional to 873.72, 1,205.73 and 542.12

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Solution

The fourth proportional to 873.72, 1,205.73 and 542.12 is: 748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.72 : 1,205.73 = 542.12 : x
  2. Step 2: Convert to fraction form
    873.72/1,205.73 = 542.12/x
  3. Step 3: Cross multiply
    873.72x = 1,205.73 × 542.12
  4. Step 4: Simplify right side
    873.72x = 653,644.32
  5. Step 5: Solve for x
    x = 653,644.32/873.72
  6. Step 6: Final answer
    x = 748.12

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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.