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Finding the Fourth Proportional to 484.15, 724.60 and 477.67

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Solution

The fourth proportional to 484.15, 724.60 and 477.67 is: 714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.15 : 724.60 = 477.67 : x
  2. Step 2: Convert to fraction form
    484.15/724.60 = 477.67/x
  3. Step 3: Cross multiply
    484.15x = 724.60 × 477.67
  4. Step 4: Simplify right side
    484.15x = 346,119.68
  5. Step 5: Solve for x
    x = 346,119.68/484.15
  6. Step 6: Final answer
    x = 714.90

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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.