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Finding the Fourth Proportional to 495.98, 743.86 and 291.99

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Solution

The fourth proportional to 495.98, 743.86 and 291.99 is: 437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.98 : 743.86 = 291.99 : x
  2. Step 2: Convert to fraction form
    495.98/743.86 = 291.99/x
  3. Step 3: Cross multiply
    495.98x = 743.86 × 291.99
  4. Step 4: Simplify right side
    495.98x = 217,199.68
  5. Step 5: Solve for x
    x = 217,199.68/495.98
  6. Step 6: Final answer
    x = 437.92

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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.