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Finding the Fourth Proportional to 1,845.79, 2,768.68 and 547.15

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Solution

The fourth proportional to 1,845.79, 2,768.68 and 547.15 is: 820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.79 : 2,768.68 = 547.15 : x
  2. Step 2: Convert to fraction form
    1,845.79/2,768.68 = 547.15/x
  3. Step 3: Cross multiply
    1,845.79x = 2,768.68 × 547.15
  4. Step 4: Simplify right side
    1,845.79x = 1,514,883.26
  5. Step 5: Solve for x
    x = 1,514,883.26/1,845.79
  6. Step 6: Final answer
    x = 820.72

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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.