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Finding the Fourth Proportional to 700.05, 1,049.80 and 261.33

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Solution

The fourth proportional to 700.05, 1,049.80 and 261.33 is: 391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.05 : 1,049.80 = 261.33 : x
  2. Step 2: Convert to fraction form
    700.05/1,049.80 = 261.33/x
  3. Step 3: Cross multiply
    700.05x = 1,049.80 × 261.33
  4. Step 4: Simplify right side
    700.05x = 274,344.23
  5. Step 5: Solve for x
    x = 274,344.23/700.05
  6. Step 6: Final answer
    x = 391.89

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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.