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Finding the Fourth Proportional to 495.61, 742.72 and 289.89

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Solution

The fourth proportional to 495.61, 742.72 and 289.89 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.61 : 742.72 = 289.89 : x
  2. Step 2: Convert to fraction form
    495.61/742.72 = 289.89/x
  3. Step 3: Cross multiply
    495.61x = 742.72 × 289.89
  4. Step 4: Simplify right side
    495.61x = 215,305.65
  5. Step 5: Solve for x
    x = 215,305.65/495.61
  6. Step 6: Final answer
    x = 434.43

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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.