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Finding the Fourth Proportional to 919.60, 1,377.93 and 826.35

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Solution

The fourth proportional to 919.60, 1,377.93 and 826.35 is: 1,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.60 : 1,377.93 = 826.35 : x
  2. Step 2: Convert to fraction form
    919.60/1,377.93 = 826.35/x
  3. Step 3: Cross multiply
    919.60x = 1,377.93 × 826.35
  4. Step 4: Simplify right side
    919.60x = 1,138,652.46
  5. Step 5: Solve for x
    x = 1,138,652.46/919.60
  6. Step 6: Final answer
    x = 1,238.20

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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.