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Finding the Fourth Proportional to 1,633.70, 2,446.23 and 862.58

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Solution

The fourth proportional to 1,633.70, 2,446.23 and 862.58 is: 1,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.70 : 2,446.23 = 862.58 : x
  2. Step 2: Convert to fraction form
    1,633.70/2,446.23 = 862.58/x
  3. Step 3: Cross multiply
    1,633.70x = 2,446.23 × 862.58
  4. Step 4: Simplify right side
    1,633.70x = 2,110,069.07
  5. Step 5: Solve for x
    x = 2,110,069.07/1,633.70
  6. Step 6: Final answer
    x = 1,291.59

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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.