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Finding the Fourth Proportional to 458.09, 631.77 and 396.53

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Solution

The fourth proportional to 458.09, 631.77 and 396.53 is: 546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.09 : 631.77 = 396.53 : x
  2. Step 2: Convert to fraction form
    458.09/631.77 = 396.53/x
  3. Step 3: Cross multiply
    458.09x = 631.77 × 396.53
  4. Step 4: Simplify right side
    458.09x = 250,515.76
  5. Step 5: Solve for x
    x = 250,515.76/458.09
  6. Step 6: Final answer
    x = 546.87

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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.