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Finding the Fourth Proportional to 873.67, 1,205.67 and 542.11

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Solution

The fourth proportional to 873.67, 1,205.67 and 542.11 is: 748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.67 : 1,205.67 = 542.11 : x
  2. Step 2: Convert to fraction form
    873.67/1,205.67 = 542.11/x
  3. Step 3: Cross multiply
    873.67x = 1,205.67 × 542.11
  4. Step 4: Simplify right side
    873.67x = 653,605.76
  5. Step 5: Solve for x
    x = 653,605.76/873.67
  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.