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Finding the Fourth Proportional to 456.87, 684.86 and 213.57

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Solution

The fourth proportional to 456.87, 684.86 and 213.57 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.87 : 684.86 = 213.57 : x
  2. Step 2: Convert to fraction form
    456.87/684.86 = 213.57/x
  3. Step 3: Cross multiply
    456.87x = 684.86 × 213.57
  4. Step 4: Simplify right side
    456.87x = 146,264.48
  5. Step 5: Solve for x
    x = 146,264.48/456.87
  6. Step 6: Final answer
    x = 320.14

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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.