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Finding the Fourth Proportional to 697.31, 962.30 and 386.81

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Solution

The fourth proportional to 697.31, 962.30 and 386.81 is: 533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.31 : 962.30 = 386.81 : x
  2. Step 2: Convert to fraction form
    697.31/962.30 = 386.81/x
  3. Step 3: Cross multiply
    697.31x = 962.30 × 386.81
  4. Step 4: Simplify right side
    697.31x = 372,227.26
  5. Step 5: Solve for x
    x = 372,227.26/697.31
  6. Step 6: Final answer
    x = 533.80

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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.