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Finding the Fourth Proportional to 663.12, 913.17 and 515.50

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Solution

The fourth proportional to 663.12, 913.17 and 515.50 is: 709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.12 : 913.17 = 515.50 : x
  2. Step 2: Convert to fraction form
    663.12/913.17 = 515.50/x
  3. Step 3: Cross multiply
    663.12x = 913.17 × 515.50
  4. Step 4: Simplify right side
    663.12x = 470,738.79
  5. Step 5: Solve for x
    x = 470,738.79/663.12
  6. Step 6: Final answer
    x = 709.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.