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Finding the Fourth Proportional to 537.75, 742.19 and 406.53

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Solution

The fourth proportional to 537.75, 742.19 and 406.53 is: 561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.75 : 742.19 = 406.53 : x
  2. Step 2: Convert to fraction form
    537.75/742.19 = 406.53/x
  3. Step 3: Cross multiply
    537.75x = 742.19 × 406.53
  4. Step 4: Simplify right side
    537.75x = 301,720.47
  5. Step 5: Solve for x
    x = 301,720.47/537.75
  6. Step 6: Final answer
    x = 561.08

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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.