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Finding the Fourth Proportional to 679.38, 1,017.88 and 473.55

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Solution

The fourth proportional to 679.38, 1,017.88 and 473.55 is: 709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.38 : 1,017.88 = 473.55 : x
  2. Step 2: Convert to fraction form
    679.38/1,017.88 = 473.55/x
  3. Step 3: Cross multiply
    679.38x = 1,017.88 × 473.55
  4. Step 4: Simplify right side
    679.38x = 482,014.71
  5. Step 5: Solve for x
    x = 482,014.71/679.38
  6. Step 6: Final answer
    x = 709.49

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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.