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Finding the Fourth Proportional to 569.28, 854.16 and 280.88

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Solution

The fourth proportional to 569.28, 854.16 and 280.88 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 854.16 = 280.88 : x
  2. Step 2: Convert to fraction form
    569.28/854.16 = 280.88/x
  3. Step 3: Cross multiply
    569.28x = 854.16 × 280.88
  4. Step 4: Simplify right side
    569.28x = 239,916.46
  5. Step 5: Solve for x
    x = 239,916.46/569.28
  6. Step 6: Final answer
    x = 421.44

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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.