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Finding the Fourth Proportional to 577.24, 865.36 and 280.60

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Solution

The fourth proportional to 577.24, 865.36 and 280.60 is: 420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 865.36 = 280.60 : x
  2. Step 2: Convert to fraction form
    577.24/865.36 = 280.60/x
  3. Step 3: Cross multiply
    577.24x = 865.36 × 280.60
  4. Step 4: Simplify right side
    577.24x = 242,820.02
  5. Step 5: Solve for x
    x = 242,820.02/577.24
  6. Step 6: Final answer
    x = 420.66

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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.