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Finding the Fourth Proportional to 500.61, 690.71 and 334.71

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Solution

The fourth proportional to 500.61, 690.71 and 334.71 is: 461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.61 : 690.71 = 334.71 : x
  2. Step 2: Convert to fraction form
    500.61/690.71 = 334.71/x
  3. Step 3: Cross multiply
    500.61x = 690.71 × 334.71
  4. Step 4: Simplify right side
    500.61x = 231,187.54
  5. Step 5: Solve for x
    x = 231,187.54/500.61
  6. Step 6: Final answer
    x = 461.81

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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.