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Finding the Fourth Proportional to 465.64, 698.23 and 172.93

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Solution

The fourth proportional to 465.64, 698.23 and 172.93 is: 259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.64 : 698.23 = 172.93 : x
  2. Step 2: Convert to fraction form
    465.64/698.23 = 172.93/x
  3. Step 3: Cross multiply
    465.64x = 698.23 × 172.93
  4. Step 4: Simplify right side
    465.64x = 120,744.91
  5. Step 5: Solve for x
    x = 120,744.91/465.64
  6. Step 6: Final answer
    x = 259.31

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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.