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Finding the Fourth Proportional to 697.05, 961.88 and 417.41

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Solution

The fourth proportional to 697.05, 961.88 and 417.41 is: 576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.05 : 961.88 = 417.41 : x
  2. Step 2: Convert to fraction form
    697.05/961.88 = 417.41/x
  3. Step 3: Cross multiply
    697.05x = 961.88 × 417.41
  4. Step 4: Simplify right side
    697.05x = 401,498.33
  5. Step 5: Solve for x
    x = 401,498.33/697.05
  6. Step 6: Final answer
    x = 576.00

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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.