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Finding the Fourth Proportional to 697.56, 961.11 and 464.28

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Solution

The fourth proportional to 697.56, 961.11 and 464.28 is: 639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.56 : 961.11 = 464.28 : x
  2. Step 2: Convert to fraction form
    697.56/961.11 = 464.28/x
  3. Step 3: Cross multiply
    697.56x = 961.11 × 464.28
  4. Step 4: Simplify right side
    697.56x = 446,224.15
  5. Step 5: Solve for x
    x = 446,224.15/697.56
  6. Step 6: Final answer
    x = 639.69

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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.