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Finding the Fourth Proportional to 1,041.82, 1,560.74 and 780.48

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Solution

The fourth proportional to 1,041.82, 1,560.74 and 780.48 is: 1,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.82 : 1,560.74 = 780.48 : x
  2. Step 2: Convert to fraction form
    1,041.82/1,560.74 = 780.48/x
  3. Step 3: Cross multiply
    1,041.82x = 1,560.74 × 780.48
  4. Step 4: Simplify right side
    1,041.82x = 1,218,122.45
  5. Step 5: Solve for x
    x = 1,218,122.45/1,041.82
  6. Step 6: Final answer
    x = 1,169.23

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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.