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Finding the Fourth Proportional to 679, 1,019.04 and 354.48

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Solution

The fourth proportional to 679, 1,019.04 and 354.48 is: 532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    679 : 1,019.04 = 354.48 : x
  2. Step 2: Convert to fraction form
    679/1,019.04 = 354.48/x
  3. Step 3: Cross multiply
    679x = 1,019.04 × 354.48
  4. Step 4: Simplify right side
    679x = 361,229.30
  5. Step 5: Solve for x
    x = 361,229.30/679
  6. Step 6: Final answer
    x = 532.00

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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.