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Finding the Fourth Proportional to 919.01, 1,371.29 and 830.88

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Solution

The fourth proportional to 919.01, 1,371.29 and 830.88 is: 1,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.01 : 1,371.29 = 830.88 : x
  2. Step 2: Convert to fraction form
    919.01/1,371.29 = 830.88/x
  3. Step 3: Cross multiply
    919.01x = 1,371.29 × 830.88
  4. Step 4: Simplify right side
    919.01x = 1,139,373.28
  5. Step 5: Solve for x
    x = 1,139,373.28/919.01
  6. Step 6: Final answer
    x = 1,239.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.