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Finding the Fourth Proportional to 697.01, 961.77 and 402.17

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Solution

The fourth proportional to 697.01, 961.77 and 402.17 is: 554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.01 : 961.77 = 402.17 : x
  2. Step 2: Convert to fraction form
    697.01/961.77 = 402.17/x
  3. Step 3: Cross multiply
    697.01x = 961.77 × 402.17
  4. Step 4: Simplify right side
    697.01x = 386,791.74
  5. Step 5: Solve for x
    x = 386,791.74/697.01
  6. Step 6: Final answer
    x = 554.93

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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.