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Finding the Fourth Proportional to 500.64, 690.78 and 376.03

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Solution

The fourth proportional to 500.64, 690.78 and 376.03 is: 518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.64 : 690.78 = 376.03 : x
  2. Step 2: Convert to fraction form
    500.64/690.78 = 376.03/x
  3. Step 3: Cross multiply
    500.64x = 690.78 × 376.03
  4. Step 4: Simplify right side
    500.64x = 259,754.00
  5. Step 5: Solve for x
    x = 259,754.00/500.64
  6. Step 6: Final answer
    x = 518.84

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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.