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Finding the Fourth Proportional to 1,286.19, 1,931.86 and 767.20

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Solution

The fourth proportional to 1,286.19, 1,931.86 and 767.20 is: 1,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.19 : 1,931.86 = 767.20 : x
  2. Step 2: Convert to fraction form
    1,286.19/1,931.86 = 767.20/x
  3. Step 3: Cross multiply
    1,286.19x = 1,931.86 × 767.20
  4. Step 4: Simplify right side
    1,286.19x = 1,482,128.77
  5. Step 5: Solve for x
    x = 1,482,128.77/1,286.19
  6. Step 6: Final answer
    x = 1,152.34

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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.