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Finding the Fourth Proportional to 497.03, 744.72 and 304.25

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Solution

The fourth proportional to 497.03, 744.72 and 304.25 is: 455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.03 : 744.72 = 304.25 : x
  2. Step 2: Convert to fraction form
    497.03/744.72 = 304.25/x
  3. Step 3: Cross multiply
    497.03x = 744.72 × 304.25
  4. Step 4: Simplify right side
    497.03x = 226,581.06
  5. Step 5: Solve for x
    x = 226,581.06/497.03
  6. Step 6: Final answer
    x = 455.87

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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.