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Finding the Fourth Proportional to 500.42, 690.46 and 290.47

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Solution

The fourth proportional to 500.42, 690.46 and 290.47 is: 400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.42 : 690.46 = 290.47 : x
  2. Step 2: Convert to fraction form
    500.42/690.46 = 290.47/x
  3. Step 3: Cross multiply
    500.42x = 690.46 × 290.47
  4. Step 4: Simplify right side
    500.42x = 200,559.14
  5. Step 5: Solve for x
    x = 200,559.14/500.42
  6. Step 6: Final answer
    x = 400.79

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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.