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Finding the Fourth Proportional to 500.98, 690.60 and 353.38

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Solution

The fourth proportional to 500.98, 690.60 and 353.38 is: 487.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.98 : 690.60 = 353.38 : x
  2. Step 2: Convert to fraction form
    500.98/690.60 = 353.38/x
  3. Step 3: Cross multiply
    500.98x = 690.60 × 353.38
  4. Step 4: Simplify right side
    500.98x = 244,044.23
  5. Step 5: Solve for x
    x = 244,044.23/500.98
  6. Step 6: Final answer
    x = 487.13

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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.