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Finding the Fourth Proportional to 912.05, 1,367.11 and 391.93

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Solution

The fourth proportional to 912.05, 1,367.11 and 391.93 is: 587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.05 : 1,367.11 = 391.93 : x
  2. Step 2: Convert to fraction form
    912.05/1,367.11 = 391.93/x
  3. Step 3: Cross multiply
    912.05x = 1,367.11 × 391.93
  4. Step 4: Simplify right side
    912.05x = 535,808.49
  5. Step 5: Solve for x
    x = 535,808.49/912.05
  6. Step 6: Final answer
    x = 587.48

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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.