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Finding the Fourth Proportional to 1,500.10, 2,250.79 and 805.95

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Solution

The fourth proportional to 1,500.10, 2,250.79 and 805.95 is: 1,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.10 : 2,250.79 = 805.95 : x
  2. Step 2: Convert to fraction form
    1,500.10/2,250.79 = 805.95/x
  3. Step 3: Cross multiply
    1,500.10x = 2,250.79 × 805.95
  4. Step 4: Simplify right side
    1,500.10x = 1,814,024.20
  5. Step 5: Solve for x
    x = 1,814,024.20/1,500.10
  6. Step 6: Final answer
    x = 1,209.27

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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.