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Finding the Fourth Proportional to 500.81, 690.67 and 314.32

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Solution

The fourth proportional to 500.81, 690.67 and 314.32 is: 433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.81 : 690.67 = 314.32 : x
  2. Step 2: Convert to fraction form
    500.81/690.67 = 314.32/x
  3. Step 3: Cross multiply
    500.81x = 690.67 × 314.32
  4. Step 4: Simplify right side
    500.81x = 217,091.39
  5. Step 5: Solve for x
    x = 217,091.39/500.81
  6. Step 6: Final answer
    x = 433.48

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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.