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Finding the Fourth Proportional to 541.42, 747.47 and 416.84

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Solution

The fourth proportional to 541.42, 747.47 and 416.84 is: 575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.42 : 747.47 = 416.84 : x
  2. Step 2: Convert to fraction form
    541.42/747.47 = 416.84/x
  3. Step 3: Cross multiply
    541.42x = 747.47 × 416.84
  4. Step 4: Simplify right side
    541.42x = 311,572.70
  5. Step 5: Solve for x
    x = 311,572.70/541.42
  6. Step 6: Final answer
    x = 575.48

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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.