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Finding the Fourth Proportional to 500.28, 689.78 and 334.24

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Solution

The fourth proportional to 500.28, 689.78 and 334.24 is: 460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.28 : 689.78 = 334.24 : x
  2. Step 2: Convert to fraction form
    500.28/689.78 = 334.24/x
  3. Step 3: Cross multiply
    500.28x = 689.78 × 334.24
  4. Step 4: Simplify right side
    500.28x = 230,552.07
  5. Step 5: Solve for x
    x = 230,552.07/500.28
  6. Step 6: Final answer
    x = 460.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.