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Finding the Fourth Proportional to 495.86, 743.92 and 279.59

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Solution

The fourth proportional to 495.86, 743.92 and 279.59 is: 419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.86 : 743.92 = 279.59 : x
  2. Step 2: Convert to fraction form
    495.86/743.92 = 279.59/x
  3. Step 3: Cross multiply
    495.86x = 743.92 × 279.59
  4. Step 4: Simplify right side
    495.86x = 207,988.17
  5. Step 5: Solve for x
    x = 207,988.17/495.86
  6. Step 6: Final answer
    x = 419.45

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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.