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Finding the Fourth Proportional to 697.00, 961.87 and 417.24

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Solution

The fourth proportional to 697.00, 961.87 and 417.24 is: 575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.00 : 961.87 = 417.24 : x
  2. Step 2: Convert to fraction form
    697.00/961.87 = 417.24/x
  3. Step 3: Cross multiply
    697.00x = 961.87 × 417.24
  4. Step 4: Simplify right side
    697.00x = 401,334.25
  5. Step 5: Solve for x
    x = 401,334.25/697.00
  6. Step 6: Final answer
    x = 575.80

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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.