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Finding the Fourth Proportional to 537.86, 742.48 and 406.90

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Solution

The fourth proportional to 537.86, 742.48 and 406.90 is: 561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.86 : 742.48 = 406.90 : x
  2. Step 2: Convert to fraction form
    537.86/742.48 = 406.90/x
  3. Step 3: Cross multiply
    537.86x = 742.48 × 406.90
  4. Step 4: Simplify right side
    537.86x = 302,115.11
  5. Step 5: Solve for x
    x = 302,115.11/537.86
  6. Step 6: Final answer
    x = 561.70

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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.