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Finding the Fourth Proportional to 813.42, 1,220.28 and 484.93

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Solution

The fourth proportional to 813.42, 1,220.28 and 484.93 is: 727.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.42 : 1,220.28 = 484.93 : x
  2. Step 2: Convert to fraction form
    813.42/1,220.28 = 484.93/x
  3. Step 3: Cross multiply
    813.42x = 1,220.28 × 484.93
  4. Step 4: Simplify right side
    813.42x = 591,747.33
  5. Step 5: Solve for x
    x = 591,747.33/813.42
  6. Step 6: Final answer
    x = 727.48

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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.