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Finding the Fourth Proportional to 500.50, 690.54 and 290.68

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Solution

The fourth proportional to 500.50, 690.54 and 290.68 is: 401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 690.54 = 290.68 : x
  2. Step 2: Convert to fraction form
    500.50/690.54 = 290.68/x
  3. Step 3: Cross multiply
    500.50x = 690.54 × 290.68
  4. Step 4: Simplify right side
    500.50x = 200,726.17
  5. Step 5: Solve for x
    x = 200,726.17/500.50
  6. Step 6: Final answer
    x = 401.05

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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.