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Finding the Fourth Proportional to 465.59, 698.37 and 114.19

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Solution

The fourth proportional to 465.59, 698.37 and 114.19 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.59 : 698.37 = 114.19 : x
  2. Step 2: Convert to fraction form
    465.59/698.37 = 114.19/x
  3. Step 3: Cross multiply
    465.59x = 698.37 × 114.19
  4. Step 4: Simplify right side
    465.59x = 79,746.87
  5. Step 5: Solve for x
    x = 79,746.87/465.59
  6. Step 6: Final answer
    x = 171.28

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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.