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Finding the Fourth Proportional to 497.44, 746.23 and 172.77

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Solution

The fourth proportional to 497.44, 746.23 and 172.77 is: 259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.44 : 746.23 = 172.77 : x
  2. Step 2: Convert to fraction form
    497.44/746.23 = 172.77/x
  3. Step 3: Cross multiply
    497.44x = 746.23 × 172.77
  4. Step 4: Simplify right side
    497.44x = 128,922.43
  5. Step 5: Solve for x
    x = 128,922.43/497.44
  6. Step 6: Final answer
    x = 259.17

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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.