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Finding the Fourth Proportional to 541.85, 747.31 and 345.02

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Solution

The fourth proportional to 541.85, 747.31 and 345.02 is: 475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.85 : 747.31 = 345.02 : x
  2. Step 2: Convert to fraction form
    541.85/747.31 = 345.02/x
  3. Step 3: Cross multiply
    541.85x = 747.31 × 345.02
  4. Step 4: Simplify right side
    541.85x = 257,836.90
  5. Step 5: Solve for x
    x = 257,836.90/541.85
  6. Step 6: Final answer
    x = 475.85

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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.