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Finding the Fourth Proportional to 663.07, 993.99 and 355.13

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Solution

The fourth proportional to 663.07, 993.99 and 355.13 is: 532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.07 : 993.99 = 355.13 : x
  2. Step 2: Convert to fraction form
    663.07/993.99 = 355.13/x
  3. Step 3: Cross multiply
    663.07x = 993.99 × 355.13
  4. Step 4: Simplify right side
    663.07x = 352,995.67
  5. Step 5: Solve for x
    x = 352,995.67/663.07
  6. Step 6: Final answer
    x = 532.37

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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.