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Finding the Fourth Proportional to 539.14, 740.42 and 451.66

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Solution

The fourth proportional to 539.14, 740.42 and 451.66 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.14 : 740.42 = 451.66 : x
  2. Step 2: Convert to fraction form
    539.14/740.42 = 451.66/x
  3. Step 3: Cross multiply
    539.14x = 740.42 × 451.66
  4. Step 4: Simplify right side
    539.14x = 334,418.10
  5. Step 5: Solve for x
    x = 334,418.10/539.14
  6. Step 6: Final answer
    x = 620.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.