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Finding the Fourth Proportional to 928.87, 1,394.61 and 912.46

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Solution

The fourth proportional to 928.87, 1,394.61 and 912.46 is: 1,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.87 : 1,394.61 = 912.46 : x
  2. Step 2: Convert to fraction form
    928.87/1,394.61 = 912.46/x
  3. Step 3: Cross multiply
    928.87x = 1,394.61 × 912.46
  4. Step 4: Simplify right side
    928.87x = 1,272,525.84
  5. Step 5: Solve for x
    x = 1,272,525.84/928.87
  6. Step 6: Final answer
    x = 1,369.97

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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.