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Finding the Fourth Proportional to 1,561.38, 2,342.34 and 695.76

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Solution

The fourth proportional to 1,561.38, 2,342.34 and 695.76 is: 1,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.38 : 2,342.34 = 695.76 : x
  2. Step 2: Convert to fraction form
    1,561.38/2,342.34 = 695.76/x
  3. Step 3: Cross multiply
    1,561.38x = 2,342.34 × 695.76
  4. Step 4: Simplify right side
    1,561.38x = 1,629,706.48
  5. Step 5: Solve for x
    x = 1,629,706.48/1,561.38
  6. Step 6: Final answer
    x = 1,043.76

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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.