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Finding the Fourth Proportional to 538.77, 743.47 and 302.75

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Solution

The fourth proportional to 538.77, 743.47 and 302.75 is: 417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.77 : 743.47 = 302.75 : x
  2. Step 2: Convert to fraction form
    538.77/743.47 = 302.75/x
  3. Step 3: Cross multiply
    538.77x = 743.47 × 302.75
  4. Step 4: Simplify right side
    538.77x = 225,085.54
  5. Step 5: Solve for x
    x = 225,085.54/538.77
  6. Step 6: Final answer
    x = 417.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.