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Finding the Fourth Proportional to 665.86, 998.18 and 563.80

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Solution

The fourth proportional to 665.86, 998.18 and 563.80 is: 845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.86 : 998.18 = 563.80 : x
  2. Step 2: Convert to fraction form
    665.86/998.18 = 563.80/x
  3. Step 3: Cross multiply
    665.86x = 998.18 × 563.80
  4. Step 4: Simplify right side
    665.86x = 562,766.07
  5. Step 5: Solve for x
    x = 562,766.07/665.86
  6. Step 6: Final answer
    x = 845.18

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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.