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Finding the Fourth Proportional to 457.82, 682.86 and 433.52

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Solution

The fourth proportional to 457.82, 682.86 and 433.52 is: 646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 682.86 = 433.52 : x
  2. Step 2: Convert to fraction form
    457.82/682.86 = 433.52/x
  3. Step 3: Cross multiply
    457.82x = 682.86 × 433.52
  4. Step 4: Simplify right side
    457.82x = 296,033.47
  5. Step 5: Solve for x
    x = 296,033.47/457.82
  6. Step 6: Final answer
    x = 646.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.