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Finding the Fourth Proportional to 699.69, 1,051.14 and 422.77

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Solution

The fourth proportional to 699.69, 1,051.14 and 422.77 is: 635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.69 : 1,051.14 = 422.77 : x
  2. Step 2: Convert to fraction form
    699.69/1,051.14 = 422.77/x
  3. Step 3: Cross multiply
    699.69x = 1,051.14 × 422.77
  4. Step 4: Simplify right side
    699.69x = 444,391.39
  5. Step 5: Solve for x
    x = 444,391.39/699.69
  6. Step 6: Final answer
    x = 635.13

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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.