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Finding the Fourth Proportional to 541.31, 747.35 and 416.74

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Solution

The fourth proportional to 541.31, 747.35 and 416.74 is: 575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.31 : 747.35 = 416.74 : x
  2. Step 2: Convert to fraction form
    541.31/747.35 = 416.74/x
  3. Step 3: Cross multiply
    541.31x = 747.35 × 416.74
  4. Step 4: Simplify right side
    541.31x = 311,449.81
  5. Step 5: Solve for x
    x = 311,449.81/541.31
  6. Step 6: Final answer
    x = 575.36

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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.