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Finding the Fourth Proportional to 696.86, 961.82 and 476.34

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Solution

The fourth proportional to 696.86, 961.82 and 476.34 is: 657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.86 : 961.82 = 476.34 : x
  2. Step 2: Convert to fraction form
    696.86/961.82 = 476.34/x
  3. Step 3: Cross multiply
    696.86x = 961.82 × 476.34
  4. Step 4: Simplify right side
    696.86x = 458,153.34
  5. Step 5: Solve for x
    x = 458,153.34/696.86
  6. Step 6: Final answer
    x = 657.45

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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.