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Finding the Fourth Proportional to 913.57, 1,367.23 and 767.47

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Solution

The fourth proportional to 913.57, 1,367.23 and 767.47 is: 1,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.57 : 1,367.23 = 767.47 : x
  2. Step 2: Convert to fraction form
    913.57/1,367.23 = 767.47/x
  3. Step 3: Cross multiply
    913.57x = 1,367.23 × 767.47
  4. Step 4: Simplify right side
    913.57x = 1,049,308.01
  5. Step 5: Solve for x
    x = 1,049,308.01/913.57
  6. Step 6: Final answer
    x = 1,148.58

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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.