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Finding the Fourth Proportional to 582.38, 872.55 and 485.51

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Solution

The fourth proportional to 582.38, 872.55 and 485.51 is: 727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.38 : 872.55 = 485.51 : x
  2. Step 2: Convert to fraction form
    582.38/872.55 = 485.51/x
  3. Step 3: Cross multiply
    582.38x = 872.55 × 485.51
  4. Step 4: Simplify right side
    582.38x = 423,627.39
  5. Step 5: Solve for x
    x = 423,627.39/582.38
  6. Step 6: Final answer
    x = 727.41

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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.