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Finding the Fourth Proportional to 1,044.13, 1,564.98 and 427.54

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Solution

The fourth proportional to 1,044.13, 1,564.98 and 427.54 is: 640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.13 : 1,564.98 = 427.54 : x
  2. Step 2: Convert to fraction form
    1,044.13/1,564.98 = 427.54/x
  3. Step 3: Cross multiply
    1,044.13x = 1,564.98 × 427.54
  4. Step 4: Simplify right side
    1,044.13x = 669,091.55
  5. Step 5: Solve for x
    x = 669,091.55/1,044.13
  6. Step 6: Final answer
    x = 640.81

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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.