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Finding the Fourth Proportional to 1,449.46, 2,000.26 and 860.28

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Solution

The fourth proportional to 1,449.46, 2,000.26 and 860.28 is: 1,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.46 : 2,000.26 = 860.28 : x
  2. Step 2: Convert to fraction form
    1,449.46/2,000.26 = 860.28/x
  3. Step 3: Cross multiply
    1,449.46x = 2,000.26 × 860.28
  4. Step 4: Simplify right side
    1,449.46x = 1,720,783.67
  5. Step 5: Solve for x
    x = 1,720,783.67/1,449.46
  6. Step 6: Final answer
    x = 1,187.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.