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Finding the Fourth Proportional to 679.63, 1,019.13 and 354.91

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Solution

The fourth proportional to 679.63, 1,019.13 and 354.91 is: 532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.63 : 1,019.13 = 354.91 : x
  2. Step 2: Convert to fraction form
    679.63/1,019.13 = 354.91/x
  3. Step 3: Cross multiply
    679.63x = 1,019.13 × 354.91
  4. Step 4: Simplify right side
    679.63x = 361,699.43
  5. Step 5: Solve for x
    x = 361,699.43/679.63
  6. Step 6: Final answer
    x = 532.20

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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.