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Finding the Fourth Proportional to 1,561.87, 2,155.30 and 898.57

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Solution

The fourth proportional to 1,561.87, 2,155.30 and 898.57 is: 1,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.87 : 2,155.30 = 898.57 : x
  2. Step 2: Convert to fraction form
    1,561.87/2,155.30 = 898.57/x
  3. Step 3: Cross multiply
    1,561.87x = 2,155.30 × 898.57
  4. Step 4: Simplify right side
    1,561.87x = 1,936,687.92
  5. Step 5: Solve for x
    x = 1,936,687.92/1,561.87
  6. Step 6: Final answer
    x = 1,239.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.