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Finding the Fourth Proportional to 679.83, 937.24 and 431.02

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Solution

The fourth proportional to 679.83, 937.24 and 431.02 is: 594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.83 : 937.24 = 431.02 : x
  2. Step 2: Convert to fraction form
    679.83/937.24 = 431.02/x
  3. Step 3: Cross multiply
    679.83x = 937.24 × 431.02
  4. Step 4: Simplify right side
    679.83x = 403,969.18
  5. Step 5: Solve for x
    x = 403,969.18/679.83
  6. Step 6: Final answer
    x = 594.22

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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.