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Finding the Fourth Proportional to 1,044.89, 1,566.74 and 427.87

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Solution

The fourth proportional to 1,044.89, 1,566.74 and 427.87 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.89 : 1,566.74 = 427.87 : x
  2. Step 2: Convert to fraction form
    1,044.89/1,566.74 = 427.87/x
  3. Step 3: Cross multiply
    1,044.89x = 1,566.74 × 427.87
  4. Step 4: Simplify right side
    1,044.89x = 670,361.04
  5. Step 5: Solve for x
    x = 670,361.04/1,044.89
  6. Step 6: Final answer
    x = 641.56

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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.