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Finding the Fourth Proportional to 801.43, 1,106 and 490.75

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Solution

The fourth proportional to 801.43, 1,106 and 490.75 is: 677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.43 : 1,106 = 490.75 : x
  2. Step 2: Convert to fraction form
    801.43/1,106 = 490.75/x
  3. Step 3: Cross multiply
    801.43x = 1,106 × 490.75
  4. Step 4: Simplify right side
    801.43x = 542,769.50
  5. Step 5: Solve for x
    x = 542,769.50/801.43
  6. Step 6: Final answer
    x = 677.25

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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.