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Finding the Fourth Proportional to 1,780.81, 2,671.47 and 547.89

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Solution

The fourth proportional to 1,780.81, 2,671.47 and 547.89 is: 821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.81 : 2,671.47 = 547.89 : x
  2. Step 2: Convert to fraction form
    1,780.81/2,671.47 = 547.89/x
  3. Step 3: Cross multiply
    1,780.81x = 2,671.47 × 547.89
  4. Step 4: Simplify right side
    1,780.81x = 1,463,655.60
  5. Step 5: Solve for x
    x = 1,463,655.60/1,780.81
  6. Step 6: Final answer
    x = 821.91

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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.