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Finding the Fourth Proportional to 484.86, 722.33 and 461.64

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Solution

The fourth proportional to 484.86, 722.33 and 461.64 is: 687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.86 : 722.33 = 461.64 : x
  2. Step 2: Convert to fraction form
    484.86/722.33 = 461.64/x
  3. Step 3: Cross multiply
    484.86x = 722.33 × 461.64
  4. Step 4: Simplify right side
    484.86x = 333,456.42
  5. Step 5: Solve for x
    x = 333,456.42/484.86
  6. Step 6: Final answer
    x = 687.74

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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.