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Finding the Fourth Proportional to 923.45, 1,375.10 and 913.22

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Solution

The fourth proportional to 923.45, 1,375.10 and 913.22 is: 1,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.45 : 1,375.10 = 913.22 : x
  2. Step 2: Convert to fraction form
    923.45/1,375.10 = 913.22/x
  3. Step 3: Cross multiply
    923.45x = 1,375.10 × 913.22
  4. Step 4: Simplify right side
    923.45x = 1,255,764.23
  5. Step 5: Solve for x
    x = 1,255,764.23/923.45
  6. Step 6: Final answer
    x = 1,359.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.