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Finding the Fourth Proportional to 457.39, 682.88 and 384.49

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Solution

The fourth proportional to 457.39, 682.88 and 384.49 is: 574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.39 : 682.88 = 384.49 : x
  2. Step 2: Convert to fraction form
    457.39/682.88 = 384.49/x
  3. Step 3: Cross multiply
    457.39x = 682.88 × 384.49
  4. Step 4: Simplify right side
    457.39x = 262,560.53
  5. Step 5: Solve for x
    x = 262,560.53/457.39
  6. Step 6: Final answer
    x = 574.04

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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.