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Finding the Fourth Proportional to 1,644.61, 2,464.77 and 862.63

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Solution

The fourth proportional to 1,644.61, 2,464.77 and 862.63 is: 1,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.61 : 2,464.77 = 862.63 : x
  2. Step 2: Convert to fraction form
    1,644.61/2,464.77 = 862.63/x
  3. Step 3: Cross multiply
    1,644.61x = 2,464.77 × 862.63
  4. Step 4: Simplify right side
    1,644.61x = 2,126,184.55
  5. Step 5: Solve for x
    x = 2,126,184.55/1,644.61
  6. Step 6: Final answer
    x = 1,292.82

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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.