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Finding the Fourth Proportional to 1,259.65, 1,738.40 and 762.31

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Solution

The fourth proportional to 1,259.65, 1,738.40 and 762.31 is: 1,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.65 : 1,738.40 = 762.31 : x
  2. Step 2: Convert to fraction form
    1,259.65/1,738.40 = 762.31/x
  3. Step 3: Cross multiply
    1,259.65x = 1,738.40 × 762.31
  4. Step 4: Simplify right side
    1,259.65x = 1,325,199.70
  5. Step 5: Solve for x
    x = 1,325,199.70/1,259.65
  6. Step 6: Final answer
    x = 1,052.04

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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.