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Finding the Fourth Proportional to 665.77, 998.23 and 319.10

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Solution

The fourth proportional to 665.77, 998.23 and 319.10 is: 478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.77 : 998.23 = 319.10 : x
  2. Step 2: Convert to fraction form
    665.77/998.23 = 319.10/x
  3. Step 3: Cross multiply
    665.77x = 998.23 × 319.10
  4. Step 4: Simplify right side
    665.77x = 318,529.40
  5. Step 5: Solve for x
    x = 318,529.40/665.77
  6. Step 6: Final answer
    x = 478.44

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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.