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Finding the Fourth Proportional to 800.24, 1,200.46 and 280.24

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Solution

The fourth proportional to 800.24, 1,200.46 and 280.24 is: 420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.24 : 1,200.46 = 280.24 : x
  2. Step 2: Convert to fraction form
    800.24/1,200.46 = 280.24/x
  3. Step 3: Cross multiply
    800.24x = 1,200.46 × 280.24
  4. Step 4: Simplify right side
    800.24x = 336,416.91
  5. Step 5: Solve for x
    x = 336,416.91/800.24
  6. Step 6: Final answer
    x = 420.40

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1.5x scale

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.