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Finding the Fourth Proportional to 911.57, 1,364.24 and 765.47

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Solution

The fourth proportional to 911.57, 1,364.24 and 765.47 is: 1,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.57 : 1,364.24 = 765.47 : x
  2. Step 2: Convert to fraction form
    911.57/1,364.24 = 765.47/x
  3. Step 3: Cross multiply
    911.57x = 1,364.24 × 765.47
  4. Step 4: Simplify right side
    911.57x = 1,044,274.14
  5. Step 5: Solve for x
    x = 1,044,274.14/911.57
  6. Step 6: Final answer
    x = 1,145.58

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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.