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Finding the Fourth Proportional to 500.90, 690.86 and 376.56

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Solution

The fourth proportional to 500.90, 690.86 and 376.56 is: 519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.90 : 690.86 = 376.56 : x
  2. Step 2: Convert to fraction form
    500.90/690.86 = 376.56/x
  3. Step 3: Cross multiply
    500.90x = 690.86 × 376.56
  4. Step 4: Simplify right side
    500.90x = 260,151.18
  5. Step 5: Solve for x
    x = 260,151.18/500.90
  6. Step 6: Final answer
    x = 519.37

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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.