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Finding the Fourth Proportional to 1,016.46, 1,402.45 and 622.80

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Solution

The fourth proportional to 1,016.46, 1,402.45 and 622.80 is: 859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.46 : 1,402.45 = 622.80 : x
  2. Step 2: Convert to fraction form
    1,016.46/1,402.45 = 622.80/x
  3. Step 3: Cross multiply
    1,016.46x = 1,402.45 × 622.80
  4. Step 4: Simplify right side
    1,016.46x = 873,444.30
  5. Step 5: Solve for x
    x = 873,444.30/1,016.46
  6. Step 6: Final answer
    x = 859.30

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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.