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Finding the Fourth Proportional to 697.21, 961.81 and 448.47

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Solution

The fourth proportional to 697.21, 961.81 and 448.47 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.21 : 961.81 = 448.47 : x
  2. Step 2: Convert to fraction form
    697.21/961.81 = 448.47/x
  3. Step 3: Cross multiply
    697.21x = 961.81 × 448.47
  4. Step 4: Simplify right side
    697.21x = 431,341.81
  5. Step 5: Solve for x
    x = 431,341.81/697.21
  6. Step 6: Final answer
    x = 618.67

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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.