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Finding the Fourth Proportional to 679.61, 1,017.48 and 447.80

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Solution

The fourth proportional to 679.61, 1,017.48 and 447.80 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.61 : 1,017.48 = 447.80 : x
  2. Step 2: Convert to fraction form
    679.61/1,017.48 = 447.80/x
  3. Step 3: Cross multiply
    679.61x = 1,017.48 × 447.80
  4. Step 4: Simplify right side
    679.61x = 455,622.46
  5. Step 5: Solve for x
    x = 455,622.46/679.61
  6. Step 6: Final answer
    x = 670.42

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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.