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Finding the Fourth Proportional to 541.23, 747.15 and 354.74

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Solution

The fourth proportional to 541.23, 747.15 and 354.74 is: 489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.23 : 747.15 = 354.74 : x
  2. Step 2: Convert to fraction form
    541.23/747.15 = 354.74/x
  3. Step 3: Cross multiply
    541.23x = 747.15 × 354.74
  4. Step 4: Simplify right side
    541.23x = 265,040.26
  5. Step 5: Solve for x
    x = 265,040.26/541.23
  6. Step 6: Final answer
    x = 489.70

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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.