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Finding the Fourth Proportional to 1,680.16, 2,519.92 and 525.92

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Solution

The fourth proportional to 1,680.16, 2,519.92 and 525.92 is: 788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.16 : 2,519.92 = 525.92 : x
  2. Step 2: Convert to fraction form
    1,680.16/2,519.92 = 525.92/x
  3. Step 3: Cross multiply
    1,680.16x = 2,519.92 × 525.92
  4. Step 4: Simplify right side
    1,680.16x = 1,325,276.33
  5. Step 5: Solve for x
    x = 1,325,276.33/1,680.16
  6. Step 6: Final answer
    x = 788.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.