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Finding the Fourth Proportional to 524.28, 785.04 and 280.92

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Solution

The fourth proportional to 524.28, 785.04 and 280.92 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.28 : 785.04 = 280.92 : x
  2. Step 2: Convert to fraction form
    524.28/785.04 = 280.92/x
  3. Step 3: Cross multiply
    524.28x = 785.04 × 280.92
  4. Step 4: Simplify right side
    524.28x = 220,533.44
  5. Step 5: Solve for x
    x = 220,533.44/524.28
  6. Step 6: Final answer
    x = 420.64

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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.