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Finding the Fourth Proportional to 495.29, 742.71 and 289.92

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Solution

The fourth proportional to 495.29, 742.71 and 289.92 is: 434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.29 : 742.71 = 289.92 : x
  2. Step 2: Convert to fraction form
    495.29/742.71 = 289.92/x
  3. Step 3: Cross multiply
    495.29x = 742.71 × 289.92
  4. Step 4: Simplify right side
    495.29x = 215,325.03
  5. Step 5: Solve for x
    x = 215,325.03/495.29
  6. Step 6: Final answer
    x = 434.75

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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.