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Finding the Fourth Proportional to 1,561.43, 2,340.61 and 780.26

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Solution

The fourth proportional to 1,561.43, 2,340.61 and 780.26 is: 1,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.43 : 2,340.61 = 780.26 : x
  2. Step 2: Convert to fraction form
    1,561.43/2,340.61 = 780.26/x
  3. Step 3: Cross multiply
    1,561.43x = 2,340.61 × 780.26
  4. Step 4: Simplify right side
    1,561.43x = 1,826,284.36
  5. Step 5: Solve for x
    x = 1,826,284.36/1,561.43
  6. Step 6: Final answer
    x = 1,169.62

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1.5x scale

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.