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Finding the Fourth Proportional to 497.53, 746.28 and 172.89

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Solution

The fourth proportional to 497.53, 746.28 and 172.89 is: 259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.53 : 746.28 = 172.89 : x
  2. Step 2: Convert to fraction form
    497.53/746.28 = 172.89/x
  3. Step 3: Cross multiply
    497.53x = 746.28 × 172.89
  4. Step 4: Simplify right side
    497.53x = 129,024.35
  5. Step 5: Solve for x
    x = 129,024.35/497.53
  6. Step 6: Final answer
    x = 259.33

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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.