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Finding the Fourth Proportional to 679.46, 1,019.66 and 517.32

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Solution

The fourth proportional to 679.46, 1,019.66 and 517.32 is: 776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.46 : 1,019.66 = 517.32 : x
  2. Step 2: Convert to fraction form
    679.46/1,019.66 = 517.32/x
  3. Step 3: Cross multiply
    679.46x = 1,019.66 × 517.32
  4. Step 4: Simplify right side
    679.46x = 527,487.92
  5. Step 5: Solve for x
    x = 527,487.92/679.46
  6. Step 6: Final answer
    x = 776.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.