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Finding the Fourth Proportional to 1,642.93, 2,267.20 and 896.90

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Solution

The fourth proportional to 1,642.93, 2,267.20 and 896.90 is: 1,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.93 : 2,267.20 = 896.90 : x
  2. Step 2: Convert to fraction form
    1,642.93/2,267.20 = 896.90/x
  3. Step 3: Cross multiply
    1,642.93x = 2,267.20 × 896.90
  4. Step 4: Simplify right side
    1,642.93x = 2,033,435.86
  5. Step 5: Solve for x
    x = 2,033,435.86/1,642.93
  6. Step 6: Final answer
    x = 1,237.69

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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.