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Finding the Fourth Proportional to 697.98, 962.52 and 550.32

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Solution

The fourth proportional to 697.98, 962.52 and 550.32 is: 758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.98 : 962.52 = 550.32 : x
  2. Step 2: Convert to fraction form
    697.98/962.52 = 550.32/x
  3. Step 3: Cross multiply
    697.98x = 962.52 × 550.32
  4. Step 4: Simplify right side
    697.98x = 529,694.01
  5. Step 5: Solve for x
    x = 529,694.01/697.98
  6. Step 6: Final answer
    x = 758.90

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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.