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Finding the Fourth Proportional to 919.60, 1,267.32 and 761.68

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Solution

The fourth proportional to 919.60, 1,267.32 and 761.68 is: 1,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.60 : 1,267.32 = 761.68 : x
  2. Step 2: Convert to fraction form
    919.60/1,267.32 = 761.68/x
  3. Step 3: Cross multiply
    919.60x = 1,267.32 × 761.68
  4. Step 4: Simplify right side
    919.60x = 965,292.30
  5. Step 5: Solve for x
    x = 965,292.30/919.60
  6. Step 6: Final answer
    x = 1,049.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.