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Finding the Fourth Proportional to 1,309.76, 1,965.48 and 540.24

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Solution

The fourth proportional to 1,309.76, 1,965.48 and 540.24 is: 810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.76 : 1,965.48 = 540.24 : x
  2. Step 2: Convert to fraction form
    1,309.76/1,965.48 = 540.24/x
  3. Step 3: Cross multiply
    1,309.76x = 1,965.48 × 540.24
  4. Step 4: Simplify right side
    1,309.76x = 1,061,830.92
  5. Step 5: Solve for x
    x = 1,061,830.92/1,309.76
  6. Step 6: Final answer
    x = 810.71

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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.