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Finding the Fourth Proportional to 500.25, 749.61 and 317.09

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Solution

The fourth proportional to 500.25, 749.61 and 317.09 is: 475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.25 : 749.61 = 317.09 : x
  2. Step 2: Convert to fraction form
    500.25/749.61 = 317.09/x
  3. Step 3: Cross multiply
    500.25x = 749.61 × 317.09
  4. Step 4: Simplify right side
    500.25x = 237,688.50
  5. Step 5: Solve for x
    x = 237,688.50/500.25
  6. Step 6: Final answer
    x = 475.14

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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.