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Finding the Fourth Proportional to 587.92, 810.23 and 482.39

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Solution

The fourth proportional to 587.92, 810.23 and 482.39 is: 664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.92 : 810.23 = 482.39 : x
  2. Step 2: Convert to fraction form
    587.92/810.23 = 482.39/x
  3. Step 3: Cross multiply
    587.92x = 810.23 × 482.39
  4. Step 4: Simplify right side
    587.92x = 390,850.08
  5. Step 5: Solve for x
    x = 390,850.08/587.92
  6. Step 6: Final answer
    x = 664.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.