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Finding the Fourth Proportional to 697.81, 962.98 and 383.09

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Solution

The fourth proportional to 697.81, 962.98 and 383.09 is: 528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.81 : 962.98 = 383.09 : x
  2. Step 2: Convert to fraction form
    697.81/962.98 = 383.09/x
  3. Step 3: Cross multiply
    697.81x = 962.98 × 383.09
  4. Step 4: Simplify right side
    697.81x = 368,905.48
  5. Step 5: Solve for x
    x = 368,905.48/697.81
  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.