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Finding the Fourth Proportional to 456.68, 684.37 and 302.71

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Solution

The fourth proportional to 456.68, 684.37 and 302.71 is: 453.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 684.37 = 302.71 : x
  2. Step 2: Convert to fraction form
    456.68/684.37 = 302.71/x
  3. Step 3: Cross multiply
    456.68x = 684.37 × 302.71
  4. Step 4: Simplify right side
    456.68x = 207,163.18
  5. Step 5: Solve for x
    x = 207,163.18/456.68
  6. Step 6: Final answer
    x = 453.63

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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.