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Finding the Fourth Proportional to 457.66, 687.12 and 389.62

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Solution

The fourth proportional to 457.66, 687.12 and 389.62 is: 584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.66 : 687.12 = 389.62 : x
  2. Step 2: Convert to fraction form
    457.66/687.12 = 389.62/x
  3. Step 3: Cross multiply
    457.66x = 687.12 × 389.62
  4. Step 4: Simplify right side
    457.66x = 267,715.69
  5. Step 5: Solve for x
    x = 267,715.69/457.66
  6. Step 6: Final answer
    x = 584.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.