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Finding the Fourth Proportional to 521.62, 718.85 and 451.46

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Solution

The fourth proportional to 521.62, 718.85 and 451.46 is: 622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.62 : 718.85 = 451.46 : x
  2. Step 2: Convert to fraction form
    521.62/718.85 = 451.46/x
  3. Step 3: Cross multiply
    521.62x = 718.85 × 451.46
  4. Step 4: Simplify right side
    521.62x = 324,532.02
  5. Step 5: Solve for x
    x = 324,532.02/521.62
  6. Step 6: Final answer
    x = 622.16

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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.