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Finding the Fourth Proportional to 539.55, 742.93 and 406.96

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Solution

The fourth proportional to 539.55, 742.93 and 406.96 is: 560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.55 : 742.93 = 406.96 : x
  2. Step 2: Convert to fraction form
    539.55/742.93 = 406.96/x
  3. Step 3: Cross multiply
    539.55x = 742.93 × 406.96
  4. Step 4: Simplify right side
    539.55x = 302,339.92
  5. Step 5: Solve for x
    x = 302,339.92/539.55
  6. Step 6: Final answer
    x = 560.36

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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.