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Finding the Fourth Proportional to 484.54, 720.58 and 469.16

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Solution

The fourth proportional to 484.54, 720.58 and 469.16 is: 697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.54 : 720.58 = 469.16 : x
  2. Step 2: Convert to fraction form
    484.54/720.58 = 469.16/x
  3. Step 3: Cross multiply
    484.54x = 720.58 × 469.16
  4. Step 4: Simplify right side
    484.54x = 338,067.31
  5. Step 5: Solve for x
    x = 338,067.31/484.54
  6. Step 6: Final answer
    x = 697.71

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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.