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Finding the Fourth Proportional to 500.36, 749.63 and 345.85

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Solution

The fourth proportional to 500.36, 749.63 and 345.85 is: 518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.36 : 749.63 = 345.85 : x
  2. Step 2: Convert to fraction form
    500.36/749.63 = 345.85/x
  3. Step 3: Cross multiply
    500.36x = 749.63 × 345.85
  4. Step 4: Simplify right side
    500.36x = 259,257.81
  5. Step 5: Solve for x
    x = 259,257.81/500.36
  6. Step 6: Final answer
    x = 518.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.