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Finding the Fourth Proportional to 484.20, 722.56 and 468.42

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Solution

The fourth proportional to 484.20, 722.56 and 468.42 is: 699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.20 : 722.56 = 468.42 : x
  2. Step 2: Convert to fraction form
    484.20/722.56 = 468.42/x
  3. Step 3: Cross multiply
    484.20x = 722.56 × 468.42
  4. Step 4: Simplify right side
    484.20x = 338,461.56
  5. Step 5: Solve for x
    x = 338,461.56/484.20
  6. Step 6: Final answer
    x = 699.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.