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Finding the Fourth Proportional to 495.38, 742.53 and 469.74

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Solution

The fourth proportional to 495.38, 742.53 and 469.74 is: 704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.38 : 742.53 = 469.74 : x
  2. Step 2: Convert to fraction form
    495.38/742.53 = 469.74/x
  3. Step 3: Cross multiply
    495.38x = 742.53 × 469.74
  4. Step 4: Simplify right side
    495.38x = 348,796.04
  5. Step 5: Solve for x
    x = 348,796.04/495.38
  6. Step 6: Final answer
    x = 704.11

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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.