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Finding the Fourth Proportional to 679.62, 1,020.52 and 471.46

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Solution

The fourth proportional to 679.62, 1,020.52 and 471.46 is: 707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.62 : 1,020.52 = 471.46 : x
  2. Step 2: Convert to fraction form
    679.62/1,020.52 = 471.46/x
  3. Step 3: Cross multiply
    679.62x = 1,020.52 × 471.46
  4. Step 4: Simplify right side
    679.62x = 481,134.36
  5. Step 5: Solve for x
    x = 481,134.36/679.62
  6. Step 6: Final answer
    x = 707.95

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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.