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Finding the Fourth Proportional to 1,561.88, 2,155.41 and 898.70

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Solution

The fourth proportional to 1,561.88, 2,155.41 and 898.70 is: 1,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.88 : 2,155.41 = 898.70 : x
  2. Step 2: Convert to fraction form
    1,561.88/2,155.41 = 898.70/x
  3. Step 3: Cross multiply
    1,561.88x = 2,155.41 × 898.70
  4. Step 4: Simplify right side
    1,561.88x = 1,937,056.19
  5. Step 5: Solve for x
    x = 1,937,056.19/1,561.88
  6. Step 6: Final answer
    x = 1,240.21

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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.