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Finding the Fourth Proportional to 665.85, 998.07 and 319.02

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Solution

The fourth proportional to 665.85, 998.07 and 319.02 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.85 : 998.07 = 319.02 : x
  2. Step 2: Convert to fraction form
    665.85/998.07 = 319.02/x
  3. Step 3: Cross multiply
    665.85x = 998.07 × 319.02
  4. Step 4: Simplify right side
    665.85x = 318,404.29
  5. Step 5: Solve for x
    x = 318,404.29/665.85
  6. Step 6: Final answer
    x = 478.19

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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.