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Finding the Fourth Proportional to 539.91, 746.55 and 458.10

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Solution

The fourth proportional to 539.91, 746.55 and 458.10 is: 633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.91 : 746.55 = 458.10 : x
  2. Step 2: Convert to fraction form
    539.91/746.55 = 458.10/x
  3. Step 3: Cross multiply
    539.91x = 746.55 × 458.10
  4. Step 4: Simplify right side
    539.91x = 341,994.56
  5. Step 5: Solve for x
    x = 341,994.56/539.91
  6. Step 6: Final answer
    x = 633.43

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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.