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Finding the Fourth Proportional to 873, 1,204.71 and 541.50

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Solution

The fourth proportional to 873, 1,204.71 and 541.50 is: 747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873 : 1,204.71 = 541.50 : x
  2. Step 2: Convert to fraction form
    873/1,204.71 = 541.50/x
  3. Step 3: Cross multiply
    873x = 1,204.71 × 541.50
  4. Step 4: Simplify right side
    873x = 652,350.47
  5. Step 5: Solve for x
    x = 652,350.47/873
  6. Step 6: Final answer
    x = 747.25

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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.