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Finding the Fourth Proportional to 1,780.74, 2,670.84 and 482.31

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Solution

The fourth proportional to 1,780.74, 2,670.84 and 482.31 is: 723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.74 : 2,670.84 = 482.31 : x
  2. Step 2: Convert to fraction form
    1,780.74/2,670.84 = 482.31/x
  3. Step 3: Cross multiply
    1,780.74x = 2,670.84 × 482.31
  4. Step 4: Simplify right side
    1,780.74x = 1,288,172.84
  5. Step 5: Solve for x
    x = 1,288,172.84/1,780.74
  6. Step 6: Final answer
    x = 723.39

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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.