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Finding the Fourth Proportional to 500.24, 690.12 and 352.88

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Solution

The fourth proportional to 500.24, 690.12 and 352.88 is: 486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.24 : 690.12 = 352.88 : x
  2. Step 2: Convert to fraction form
    500.24/690.12 = 352.88/x
  3. Step 3: Cross multiply
    500.24x = 690.12 × 352.88
  4. Step 4: Simplify right side
    500.24x = 243,529.55
  5. Step 5: Solve for x
    x = 243,529.55/500.24
  6. Step 6: Final answer
    x = 486.83

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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.