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Finding the Fourth Proportional to 699.11, 1,048.85 and 622.60

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Solution

The fourth proportional to 699.11, 1,048.85 and 622.60 is: 934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.11 : 1,048.85 = 622.60 : x
  2. Step 2: Convert to fraction form
    699.11/1,048.85 = 622.60/x
  3. Step 3: Cross multiply
    699.11x = 1,048.85 × 622.60
  4. Step 4: Simplify right side
    699.11x = 653,012.08
  5. Step 5: Solve for x
    x = 653,012.08/699.11
  6. Step 6: Final answer
    x = 934.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.