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Finding the Fourth Proportional to 873.13, 1,204.68 and 541.57

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Solution

The fourth proportional to 873.13, 1,204.68 and 541.57 is: 747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.13 : 1,204.68 = 541.57 : x
  2. Step 2: Convert to fraction form
    873.13/1,204.68 = 541.57/x
  3. Step 3: Cross multiply
    873.13x = 1,204.68 × 541.57
  4. Step 4: Simplify right side
    873.13x = 652,418.55
  5. Step 5: Solve for x
    x = 652,418.55/873.13
  6. Step 6: Final answer
    x = 747.22

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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.