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Finding the Fourth Proportional to 679.52, 1,018.35 and 354.21

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Solution

The fourth proportional to 679.52, 1,018.35 and 354.21 is: 530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.52 : 1,018.35 = 354.21 : x
  2. Step 2: Convert to fraction form
    679.52/1,018.35 = 354.21/x
  3. Step 3: Cross multiply
    679.52x = 1,018.35 × 354.21
  4. Step 4: Simplify right side
    679.52x = 360,709.75
  5. Step 5: Solve for x
    x = 360,709.75/679.52
  6. Step 6: Final answer
    x = 530.83

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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.