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Finding the Fourth Proportional to 697.32, 961.68 and 417.60

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Solution

The fourth proportional to 697.32, 961.68 and 417.60 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.32 : 961.68 = 417.60 : x
  2. Step 2: Convert to fraction form
    697.32/961.68 = 417.60/x
  3. Step 3: Cross multiply
    697.32x = 961.68 × 417.60
  4. Step 4: Simplify right side
    697.32x = 401,597.57
  5. Step 5: Solve for x
    x = 401,597.57/697.32
  6. Step 6: Final answer
    x = 575.92

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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.