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Finding the Fourth Proportional to 577.09, 865.21 and 284.50

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Solution

The fourth proportional to 577.09, 865.21 and 284.50 is: 426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.09 : 865.21 = 284.50 : x
  2. Step 2: Convert to fraction form
    577.09/865.21 = 284.50/x
  3. Step 3: Cross multiply
    577.09x = 865.21 × 284.50
  4. Step 4: Simplify right side
    577.09x = 246,152.25
  5. Step 5: Solve for x
    x = 246,152.25/577.09
  6. Step 6: Final answer
    x = 426.54

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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.