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Finding the Fourth Proportional to 497.49, 746.04 and 172.89

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Solution

The fourth proportional to 497.49, 746.04 and 172.89 is: 259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.49 : 746.04 = 172.89 : x
  2. Step 2: Convert to fraction form
    497.49/746.04 = 172.89/x
  3. Step 3: Cross multiply
    497.49x = 746.04 × 172.89
  4. Step 4: Simplify right side
    497.49x = 128,982.86
  5. Step 5: Solve for x
    x = 128,982.86/497.49
  6. Step 6: Final answer
    x = 259.27

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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.