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Finding the Fourth Proportional to 825.02, 1,236.10 and 434.44

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Solution

The fourth proportional to 825.02, 1,236.10 and 434.44 is: 650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.02 : 1,236.10 = 434.44 : x
  2. Step 2: Convert to fraction form
    825.02/1,236.10 = 434.44/x
  3. Step 3: Cross multiply
    825.02x = 1,236.10 × 434.44
  4. Step 4: Simplify right side
    825.02x = 537,011.28
  5. Step 5: Solve for x
    x = 537,011.28/825.02
  6. Step 6: Final answer
    x = 650.91

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Double scale
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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.