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Finding the Fourth Proportional to 500.37, 689.68 and 334.52

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Solution

The fourth proportional to 500.37, 689.68 and 334.52 is: 461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 689.68 = 334.52 : x
  2. Step 2: Convert to fraction form
    500.37/689.68 = 334.52/x
  3. Step 3: Cross multiply
    500.37x = 689.68 × 334.52
  4. Step 4: Simplify right side
    500.37x = 230,711.75
  5. Step 5: Solve for x
    x = 230,711.75/500.37
  6. Step 6: Final answer
    x = 461.08

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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.