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Finding the Fourth Proportional to 458.84, 685.81 and 399.82

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Solution

The fourth proportional to 458.84, 685.81 and 399.82 is: 597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 685.81 = 399.82 : x
  2. Step 2: Convert to fraction form
    458.84/685.81 = 399.82/x
  3. Step 3: Cross multiply
    458.84x = 685.81 × 399.82
  4. Step 4: Simplify right side
    458.84x = 274,200.55
  5. Step 5: Solve for x
    x = 274,200.55/458.84
  6. Step 6: Final answer
    x = 597.60

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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.