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Finding the Fourth Proportional to 506.02, 698.48 and 319.82

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Solution

The fourth proportional to 506.02, 698.48 and 319.82 is: 441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.02 : 698.48 = 319.82 : x
  2. Step 2: Convert to fraction form
    506.02/698.48 = 319.82/x
  3. Step 3: Cross multiply
    506.02x = 698.48 × 319.82
  4. Step 4: Simplify right side
    506.02x = 223,387.87
  5. Step 5: Solve for x
    x = 223,387.87/506.02
  6. Step 6: Final answer
    x = 441.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.