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Finding the Fourth Proportional to 500.41, 690.68 and 325.45

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Solution

The fourth proportional to 500.41, 690.68 and 325.45 is: 449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.41 : 690.68 = 325.45 : x
  2. Step 2: Convert to fraction form
    500.41/690.68 = 325.45/x
  3. Step 3: Cross multiply
    500.41x = 690.68 × 325.45
  4. Step 4: Simplify right side
    500.41x = 224,781.81
  5. Step 5: Solve for x
    x = 224,781.81/500.41
  6. Step 6: Final answer
    x = 449.20

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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.