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Finding the Fourth Proportional to 912.37, 1,366.20 and 765.77

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Solution

The fourth proportional to 912.37, 1,366.20 and 765.77 is: 1,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.37 : 1,366.20 = 765.77 : x
  2. Step 2: Convert to fraction form
    912.37/1,366.20 = 765.77/x
  3. Step 3: Cross multiply
    912.37x = 1,366.20 × 765.77
  4. Step 4: Simplify right side
    912.37x = 1,046,188.14
  5. Step 5: Solve for x
    x = 1,046,188.14/912.37
  6. Step 6: Final answer
    x = 1,146.67

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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.