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Finding the Fourth Proportional to 919.03, 1,266.78 and 719.52

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Solution

The fourth proportional to 919.03, 1,266.78 and 719.52 is: 991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.03 : 1,266.78 = 719.52 : x
  2. Step 2: Convert to fraction form
    919.03/1,266.78 = 719.52/x
  3. Step 3: Cross multiply
    919.03x = 1,266.78 × 719.52
  4. Step 4: Simplify right side
    919.03x = 911,473.55
  5. Step 5: Solve for x
    x = 911,473.55/919.03
  6. Step 6: Final answer
    x = 991.78

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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.