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Finding the Fourth Proportional to 1,780.32, 2,670.88 and 547.68

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Solution

The fourth proportional to 1,780.32, 2,670.88 and 547.68 is: 821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.32 : 2,670.88 = 547.68 : x
  2. Step 2: Convert to fraction form
    1,780.32/2,670.88 = 547.68/x
  3. Step 3: Cross multiply
    1,780.32x = 2,670.88 × 547.68
  4. Step 4: Simplify right side
    1,780.32x = 1,462,787.56
  5. Step 5: Solve for x
    x = 1,462,787.56/1,780.32
  6. Step 6: Final answer
    x = 821.64

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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.