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Finding the Fourth Proportional to 697.82, 962.99 and 383.09

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Solution

The fourth proportional to 697.82, 962.99 and 383.09 is: 528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 962.99 = 383.09 : x
  2. Step 2: Convert to fraction form
    697.82/962.99 = 383.09/x
  3. Step 3: Cross multiply
    697.82x = 962.99 × 383.09
  4. Step 4: Simplify right side
    697.82x = 368,905.11
  5. Step 5: Solve for x
    x = 368,905.11/697.82
  6. Step 6: Final answer
    x = 528.66

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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.