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Finding the Fourth Proportional to 497.52, 742.73 and 464.58

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Solution

The fourth proportional to 497.52, 742.73 and 464.58 is: 693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.52 : 742.73 = 464.58 : x
  2. Step 2: Convert to fraction form
    497.52/742.73 = 464.58/x
  3. Step 3: Cross multiply
    497.52x = 742.73 × 464.58
  4. Step 4: Simplify right side
    497.52x = 345,057.50
  5. Step 5: Solve for x
    x = 345,057.50/497.52
  6. Step 6: Final answer
    x = 693.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.