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Finding the Fourth Proportional to 665.63, 998.86 and 254.80

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Solution

The fourth proportional to 665.63, 998.86 and 254.80 is: 382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.63 : 998.86 = 254.80 : x
  2. Step 2: Convert to fraction form
    665.63/998.86 = 254.80/x
  3. Step 3: Cross multiply
    665.63x = 998.86 × 254.80
  4. Step 4: Simplify right side
    665.63x = 254,509.53
  5. Step 5: Solve for x
    x = 254,509.53/665.63
  6. Step 6: Final answer
    x = 382.36

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1.5x scale

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.