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Finding the Fourth Proportional to 534.96, 798.87 and 457.11

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Solution

The fourth proportional to 534.96, 798.87 and 457.11 is: 682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.96 : 798.87 = 457.11 : x
  2. Step 2: Convert to fraction form
    534.96/798.87 = 457.11/x
  3. Step 3: Cross multiply
    534.96x = 798.87 × 457.11
  4. Step 4: Simplify right side
    534.96x = 365,171.47
  5. Step 5: Solve for x
    x = 365,171.47/534.96
  6. Step 6: Final answer
    x = 682.61

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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.