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Finding the Fourth Proportional to 1,464.59, 2,197.38 and 642.44

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Solution

The fourth proportional to 1,464.59, 2,197.38 and 642.44 is: 963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.59 : 2,197.38 = 642.44 : x
  2. Step 2: Convert to fraction form
    1,464.59/2,197.38 = 642.44/x
  3. Step 3: Cross multiply
    1,464.59x = 2,197.38 × 642.44
  4. Step 4: Simplify right side
    1,464.59x = 1,411,684.81
  5. Step 5: Solve for x
    x = 1,411,684.81/1,464.59
  6. Step 6: Final answer
    x = 963.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.