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Finding the Fourth Proportional to 484.36, 725.96 and 317.67

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Solution

The fourth proportional to 484.36, 725.96 and 317.67 is: 476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.36 : 725.96 = 317.67 : x
  2. Step 2: Convert to fraction form
    484.36/725.96 = 317.67/x
  3. Step 3: Cross multiply
    484.36x = 725.96 × 317.67
  4. Step 4: Simplify right side
    484.36x = 230,615.71
  5. Step 5: Solve for x
    x = 230,615.71/484.36
  6. Step 6: Final answer
    x = 476.12

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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.