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Finding the Fourth Proportional to 539.72, 742.40 and 451.16

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Solution

The fourth proportional to 539.72, 742.40 and 451.16 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.72 : 742.40 = 451.16 : x
  2. Step 2: Convert to fraction form
    539.72/742.40 = 451.16/x
  3. Step 3: Cross multiply
    539.72x = 742.40 × 451.16
  4. Step 4: Simplify right side
    539.72x = 334,941.18
  5. Step 5: Solve for x
    x = 334,941.18/539.72
  6. Step 6: Final answer
    x = 620.58

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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.