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Finding the Fourth Proportional to 697.40, 962.40 and 386.90

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Solution

The fourth proportional to 697.40, 962.40 and 386.90 is: 533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 962.40 = 386.90 : x
  2. Step 2: Convert to fraction form
    697.40/962.40 = 386.90/x
  3. Step 3: Cross multiply
    697.40x = 962.40 × 386.90
  4. Step 4: Simplify right side
    697.40x = 372,352.56
  5. Step 5: Solve for x
    x = 372,352.56/697.40
  6. Step 6: Final answer
    x = 533.92

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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.