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Finding the Fourth Proportional to 1,449.30, 2,000.03 and 786.15

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Solution

The fourth proportional to 1,449.30, 2,000.03 and 786.15 is: 1,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.30 : 2,000.03 = 786.15 : x
  2. Step 2: Convert to fraction form
    1,449.30/2,000.03 = 786.15/x
  3. Step 3: Cross multiply
    1,449.30x = 2,000.03 × 786.15
  4. Step 4: Simplify right side
    1,449.30x = 1,572,319.65
  5. Step 5: Solve for x
    x = 1,572,319.65/1,449.30
  6. Step 6: Final answer
    x = 1,084.88

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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.