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Finding the Fourth Proportional to 697.93, 962.13 and 550.30

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Solution

The fourth proportional to 697.93, 962.13 and 550.30 is: 758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.93 : 962.13 = 550.30 : x
  2. Step 2: Convert to fraction form
    697.93/962.13 = 550.30/x
  3. Step 3: Cross multiply
    697.93x = 962.13 × 550.30
  4. Step 4: Simplify right side
    697.93x = 529,460.14
  5. Step 5: Solve for x
    x = 529,460.14/697.93
  6. Step 6: Final answer
    x = 758.61

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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.