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Finding the Fourth Proportional to 1,561.71, 2,340.90 and 780.17

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Solution

The fourth proportional to 1,561.71, 2,340.90 and 780.17 is: 1,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.71 : 2,340.90 = 780.17 : x
  2. Step 2: Convert to fraction form
    1,561.71/2,340.90 = 780.17/x
  3. Step 3: Cross multiply
    1,561.71x = 2,340.90 × 780.17
  4. Step 4: Simplify right side
    1,561.71x = 1,826,305.81
  5. Step 5: Solve for x
    x = 1,826,305.81/1,561.71
  6. Step 6: Final answer
    x = 1,169.43

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