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Finding the Fourth Proportional to 697.21, 962.17 and 417.74

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Solution

The fourth proportional to 697.21, 962.17 and 417.74 is: 576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.21 : 962.17 = 417.74 : x
  2. Step 2: Convert to fraction form
    697.21/962.17 = 417.74/x
  3. Step 3: Cross multiply
    697.21x = 962.17 × 417.74
  4. Step 4: Simplify right side
    697.21x = 401,936.90
  5. Step 5: Solve for x
    x = 401,936.90/697.21
  6. Step 6: Final answer
    x = 576.49

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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.