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Finding the Fourth Proportional to 525.57, 721.48 and 451.76

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Solution

The fourth proportional to 525.57, 721.48 and 451.76 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.57 : 721.48 = 451.76 : x
  2. Step 2: Convert to fraction form
    525.57/721.48 = 451.76/x
  3. Step 3: Cross multiply
    525.57x = 721.48 × 451.76
  4. Step 4: Simplify right side
    525.57x = 325,935.80
  5. Step 5: Solve for x
    x = 325,935.80/525.57
  6. Step 6: Final answer
    x = 620.16

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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.