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Finding the Fourth Proportional to 697.60, 961.92 and 550.40

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Solution

The fourth proportional to 697.60, 961.92 and 550.40 is: 758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.60 : 961.92 = 550.40 : x
  2. Step 2: Convert to fraction form
    697.60/961.92 = 550.40/x
  3. Step 3: Cross multiply
    697.60x = 961.92 × 550.40
  4. Step 4: Simplify right side
    697.60x = 529,440.77
  5. Step 5: Solve for x
    x = 529,440.77/697.60
  6. Step 6: Final answer
    x = 758.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.