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Finding the Fourth Proportional to 697.56, 961.88 and 448.70

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Solution

The fourth proportional to 697.56, 961.88 and 448.70 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.56 : 961.88 = 448.70 : x
  2. Step 2: Convert to fraction form
    697.56/961.88 = 448.70/x
  3. Step 3: Cross multiply
    697.56x = 961.88 × 448.70
  4. Step 4: Simplify right side
    697.56x = 431,595.56
  5. Step 5: Solve for x
    x = 431,595.56/697.56
  6. Step 6: Final answer
    x = 618.72

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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.