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Finding the Fourth Proportional to 458.91, 685.02 and 425.07

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Solution

The fourth proportional to 458.91, 685.02 and 425.07 is: 634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 685.02 = 425.07 : x
  2. Step 2: Convert to fraction form
    458.91/685.02 = 425.07/x
  3. Step 3: Cross multiply
    458.91x = 685.02 × 425.07
  4. Step 4: Simplify right side
    458.91x = 291,183.05
  5. Step 5: Solve for x
    x = 291,183.05/458.91
  6. Step 6: Final answer
    x = 634.51

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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.