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Finding the Fourth Proportional to 497.08, 744.18 and 325.72

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Solution

The fourth proportional to 497.08, 744.18 and 325.72 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.08 : 744.18 = 325.72 : x
  2. Step 2: Convert to fraction form
    497.08/744.18 = 325.72/x
  3. Step 3: Cross multiply
    497.08x = 744.18 × 325.72
  4. Step 4: Simplify right side
    497.08x = 242,394.31
  5. Step 5: Solve for x
    x = 242,394.31/497.08
  6. Step 6: Final answer
    x = 487.64

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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.