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Finding the Fourth Proportional to 497.34, 742.50 and 445.14

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Solution

The fourth proportional to 497.34, 742.50 and 445.14 is: 664.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.34 : 742.50 = 445.14 : x
  2. Step 2: Convert to fraction form
    497.34/742.50 = 445.14/x
  3. Step 3: Cross multiply
    497.34x = 742.50 × 445.14
  4. Step 4: Simplify right side
    497.34x = 330,516.45
  5. Step 5: Solve for x
    x = 330,516.45/497.34
  6. Step 6: Final answer
    x = 664.57

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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.