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Finding the Fourth Proportional to 679.21, 937.38 and 417.40

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Solution

The fourth proportional to 679.21, 937.38 and 417.40 is: 576.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.21 : 937.38 = 417.40 : x
  2. Step 2: Convert to fraction form
    679.21/937.38 = 417.40/x
  3. Step 3: Cross multiply
    679.21x = 937.38 × 417.40
  4. Step 4: Simplify right side
    679.21x = 391,262.41
  5. Step 5: Solve for x
    x = 391,262.41/679.21
  6. Step 6: Final answer
    x = 576.06

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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.