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Finding the Fourth Proportional to 679.08, 935.90 and 512.90

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Solution

The fourth proportional to 679.08, 935.90 and 512.90 is: 706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.08 : 935.90 = 512.90 : x
  2. Step 2: Convert to fraction form
    679.08/935.90 = 512.90/x
  3. Step 3: Cross multiply
    679.08x = 935.90 × 512.90
  4. Step 4: Simplify right side
    679.08x = 480,023.11
  5. Step 5: Solve for x
    x = 480,023.11/679.08
  6. Step 6: Final answer
    x = 706.87

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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.