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Finding the Fourth Proportional to 539.60, 744.40 and 406.40

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Solution

The fourth proportional to 539.60, 744.40 and 406.40 is: 560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.60 : 744.40 = 406.40 : x
  2. Step 2: Convert to fraction form
    539.60/744.40 = 406.40/x
  3. Step 3: Cross multiply
    539.60x = 744.40 × 406.40
  4. Step 4: Simplify right side
    539.60x = 302,524.16
  5. Step 5: Solve for x
    x = 302,524.16/539.60
  6. Step 6: Final answer
    x = 560.65

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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.