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Finding the Fourth Proportional to 539.64, 741.12 and 452.16

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Solution

The fourth proportional to 539.64, 741.12 and 452.16 is: 620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.64 : 741.12 = 452.16 : x
  2. Step 2: Convert to fraction form
    539.64/741.12 = 452.16/x
  3. Step 3: Cross multiply
    539.64x = 741.12 × 452.16
  4. Step 4: Simplify right side
    539.64x = 335,104.82
  5. Step 5: Solve for x
    x = 335,104.82/539.64
  6. Step 6: Final answer
    x = 620.98

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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.