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Finding the Fourth Proportional to 1,561.85, 2,155.68 and 898.90

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Solution

The fourth proportional to 1,561.85, 2,155.68 and 898.90 is: 1,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.85 : 2,155.68 = 898.90 : x
  2. Step 2: Convert to fraction form
    1,561.85/2,155.68 = 898.90/x
  3. Step 3: Cross multiply
    1,561.85x = 2,155.68 × 898.90
  4. Step 4: Simplify right side
    1,561.85x = 1,937,735.36
  5. Step 5: Solve for x
    x = 1,937,735.36/1,561.85
  6. Step 6: Final answer
    x = 1,240.67

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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.