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Finding the Fourth Proportional to 1,073.97, 1,482.21 and 631.80

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Solution

The fourth proportional to 1,073.97, 1,482.21 and 631.80 is: 871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.97 : 1,482.21 = 631.80 : x
  2. Step 2: Convert to fraction form
    1,073.97/1,482.21 = 631.80/x
  3. Step 3: Cross multiply
    1,073.97x = 1,482.21 × 631.80
  4. Step 4: Simplify right side
    1,073.97x = 936,460.28
  5. Step 5: Solve for x
    x = 936,460.28/1,073.97
  6. Step 6: Final answer
    x = 871.96

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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.