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Finding the Fourth Proportional to 801.75, 1,105.35 and 719.74

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Solution

The fourth proportional to 801.75, 1,105.35 and 719.74 is: 992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.75 : 1,105.35 = 719.74 : x
  2. Step 2: Convert to fraction form
    801.75/1,105.35 = 719.74/x
  3. Step 3: Cross multiply
    801.75x = 1,105.35 × 719.74
  4. Step 4: Simplify right side
    801.75x = 795,563.29
  5. Step 5: Solve for x
    x = 795,563.29/801.75
  6. Step 6: Final answer
    x = 992.28

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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.