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Finding the Fourth Proportional to 495.92, 743.63 and 290.54

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Solution

The fourth proportional to 495.92, 743.63 and 290.54 is: 435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 743.63 = 290.54 : x
  2. Step 2: Convert to fraction form
    495.92/743.63 = 290.54/x
  3. Step 3: Cross multiply
    495.92x = 743.63 × 290.54
  4. Step 4: Simplify right side
    495.92x = 216,054.26
  5. Step 5: Solve for x
    x = 216,054.26/495.92
  6. Step 6: Final answer
    x = 435.66

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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.