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Finding the Fourth Proportional to 679.52, 937.74 and 369.02

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Solution

The fourth proportional to 679.52, 937.74 and 369.02 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.52 : 937.74 = 369.02 : x
  2. Step 2: Convert to fraction form
    679.52/937.74 = 369.02/x
  3. Step 3: Cross multiply
    679.52x = 937.74 × 369.02
  4. Step 4: Simplify right side
    679.52x = 346,045.99
  5. Step 5: Solve for x
    x = 346,045.99/679.52
  6. Step 6: Final answer
    x = 509.25

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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.