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Finding the Fourth Proportional to 500.73, 690.76 and 334.99

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Solution

The fourth proportional to 500.73, 690.76 and 334.99 is: 462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 690.76 = 334.99 : x
  2. Step 2: Convert to fraction form
    500.73/690.76 = 334.99/x
  3. Step 3: Cross multiply
    500.73x = 690.76 × 334.99
  4. Step 4: Simplify right side
    500.73x = 231,397.69
  5. Step 5: Solve for x
    x = 231,397.69/500.73
  6. Step 6: Final answer
    x = 462.12

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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.