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Finding the Fourth Proportional to 465.27, 698.31 and 393.18

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Solution

The fourth proportional to 465.27, 698.31 and 393.18 is: 590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.27 : 698.31 = 393.18 : x
  2. Step 2: Convert to fraction form
    465.27/698.31 = 393.18/x
  3. Step 3: Cross multiply
    465.27x = 698.31 × 393.18
  4. Step 4: Simplify right side
    465.27x = 274,561.53
  5. Step 5: Solve for x
    x = 274,561.53/465.27
  6. Step 6: Final answer
    x = 590.11

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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.