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Finding the Fourth Proportional to 873, 1,204.38 and 540.84

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Solution

The fourth proportional to 873, 1,204.38 and 540.84 is: 746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    873 : 1,204.38 = 540.84 : x
  2. Step 2: Convert to fraction form
    873/1,204.38 = 540.84/x
  3. Step 3: Cross multiply
    873x = 1,204.38 × 540.84
  4. Step 4: Simplify right side
    873x = 651,376.88
  5. Step 5: Solve for x
    x = 651,376.88/873
  6. Step 6: Final answer
    x = 746.14

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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.