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Finding the Fourth Proportional to 1,642.85, 2,267.10 and 896.81

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Solution

The fourth proportional to 1,642.85, 2,267.10 and 896.81 is: 1,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.85 : 2,267.10 = 896.81 : x
  2. Step 2: Convert to fraction form
    1,642.85/2,267.10 = 896.81/x
  3. Step 3: Cross multiply
    1,642.85x = 2,267.10 × 896.81
  4. Step 4: Simplify right side
    1,642.85x = 2,033,142.13
  5. Step 5: Solve for x
    x = 2,033,142.13/1,642.85
  6. Step 6: Final answer
    x = 1,237.57

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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.