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Finding the Fourth Proportional to 1,633.20, 2,445.48 and 862.08

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Solution

The fourth proportional to 1,633.20, 2,445.48 and 862.08 is: 1,290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.20 : 2,445.48 = 862.08 : x
  2. Step 2: Convert to fraction form
    1,633.20/2,445.48 = 862.08/x
  3. Step 3: Cross multiply
    1,633.20x = 2,445.48 × 862.08
  4. Step 4: Simplify right side
    1,633.20x = 2,108,199.40
  5. Step 5: Solve for x
    x = 2,108,199.40/1,633.20
  6. Step 6: Final answer
    x = 1,290.84

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