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Finding the Fourth Proportional to 680.68, 1,021.34 and 472.76

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Solution

The fourth proportional to 680.68, 1,021.34 and 472.76 is: 709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.68 : 1,021.34 = 472.76 : x
  2. Step 2: Convert to fraction form
    680.68/1,021.34 = 472.76/x
  3. Step 3: Cross multiply
    680.68x = 1,021.34 × 472.76
  4. Step 4: Simplify right side
    680.68x = 482,848.89
  5. Step 5: Solve for x
    x = 482,848.89/680.68
  6. Step 6: Final answer
    x = 709.37

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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.