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Finding the Fourth Proportional to 484.85, 725.72 and 320.46

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Solution

The fourth proportional to 484.85, 725.72 and 320.46 is: 479.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.85 : 725.72 = 320.46 : x
  2. Step 2: Convert to fraction form
    484.85/725.72 = 320.46/x
  3. Step 3: Cross multiply
    484.85x = 725.72 × 320.46
  4. Step 4: Simplify right side
    484.85x = 232,562.63
  5. Step 5: Solve for x
    x = 232,562.63/484.85
  6. Step 6: Final answer
    x = 479.66

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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.