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Finding the Fourth Proportional to 697.18, 962.21 and 402.45

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Solution

The fourth proportional to 697.18, 962.21 and 402.45 is: 555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.18 : 962.21 = 402.45 : x
  2. Step 2: Convert to fraction form
    697.18/962.21 = 402.45/x
  3. Step 3: Cross multiply
    697.18x = 962.21 × 402.45
  4. Step 4: Simplify right side
    697.18x = 387,241.41
  5. Step 5: Solve for x
    x = 387,241.41/697.18
  6. Step 6: Final answer
    x = 555.44

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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.