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Finding the Fourth Proportional to 1,780.78, 2,671.24 and 482.30

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Solution

The fourth proportional to 1,780.78, 2,671.24 and 482.30 is: 723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.78 : 2,671.24 = 482.30 : x
  2. Step 2: Convert to fraction form
    1,780.78/2,671.24 = 482.30/x
  3. Step 3: Cross multiply
    1,780.78x = 2,671.24 × 482.30
  4. Step 4: Simplify right side
    1,780.78x = 1,288,339.05
  5. Step 5: Solve for x
    x = 1,288,339.05/1,780.78
  6. Step 6: Final answer
    x = 723.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.