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Finding the Fourth Proportional to 1,449.65, 2,000.50 and 786.50

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Solution

The fourth proportional to 1,449.65, 2,000.50 and 786.50 is: 1,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.65 : 2,000.50 = 786.50 : x
  2. Step 2: Convert to fraction form
    1,449.65/2,000.50 = 786.50/x
  3. Step 3: Cross multiply
    1,449.65x = 2,000.50 × 786.50
  4. Step 4: Simplify right side
    1,449.65x = 1,573,393.25
  5. Step 5: Solve for x
    x = 1,573,393.25/1,449.65
  6. Step 6: Final answer
    x = 1,085.36

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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.