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Finding the Fourth Proportional to 465.75, 698.61 and 209.07

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Solution

The fourth proportional to 465.75, 698.61 and 209.07 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 698.61 = 209.07 : x
  2. Step 2: Convert to fraction form
    465.75/698.61 = 209.07/x
  3. Step 3: Cross multiply
    465.75x = 698.61 × 209.07
  4. Step 4: Simplify right side
    465.75x = 146,058.39
  5. Step 5: Solve for x
    x = 146,058.39/465.75
  6. Step 6: Final answer
    x = 313.60

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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.