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Finding the Fourth Proportional to 537.48, 741.43 and 406.26

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Solution

The fourth proportional to 537.48, 741.43 and 406.26 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.48 : 741.43 = 406.26 : x
  2. Step 2: Convert to fraction form
    537.48/741.43 = 406.26/x
  3. Step 3: Cross multiply
    537.48x = 741.43 × 406.26
  4. Step 4: Simplify right side
    537.48x = 301,209.64
  5. Step 5: Solve for x
    x = 301,209.64/537.48
  6. Step 6: Final answer
    x = 560.42

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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.