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Finding the Fourth Proportional to 697.76, 962.40 and 550.16

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Solution

The fourth proportional to 697.76, 962.40 and 550.16 is: 758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.76 : 962.40 = 550.16 : x
  2. Step 2: Convert to fraction form
    697.76/962.40 = 550.16/x
  3. Step 3: Cross multiply
    697.76x = 962.40 × 550.16
  4. Step 4: Simplify right side
    697.76x = 529,473.98
  5. Step 5: Solve for x
    x = 529,473.98/697.76
  6. Step 6: Final answer
    x = 758.82

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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.