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Finding the Fourth Proportional to 1,760.32, 2,641.50 and 786.52

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Solution

The fourth proportional to 1,760.32, 2,641.50 and 786.52 is: 1,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.32 : 2,641.50 = 786.52 : x
  2. Step 2: Convert to fraction form
    1,760.32/2,641.50 = 786.52/x
  3. Step 3: Cross multiply
    1,760.32x = 2,641.50 × 786.52
  4. Step 4: Simplify right side
    1,760.32x = 2,077,592.58
  5. Step 5: Solve for x
    x = 2,077,592.58/1,760.32
  6. Step 6: Final answer
    x = 1,180.24

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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.