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Finding the Fourth Proportional to 1,044.35, 1,564.71 and 734.75

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Solution

The fourth proportional to 1,044.35, 1,564.71 and 734.75 is: 1,100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.35 : 1,564.71 = 734.75 : x
  2. Step 2: Convert to fraction form
    1,044.35/1,564.71 = 734.75/x
  3. Step 3: Cross multiply
    1,044.35x = 1,564.71 × 734.75
  4. Step 4: Simplify right side
    1,044.35x = 1,149,670.67
  5. Step 5: Solve for x
    x = 1,149,670.67/1,044.35
  6. Step 6: Final answer
    x = 1,100.85

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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.