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Finding the Fourth Proportional to 825.05, 1,138.73 and 471.02

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Solution

The fourth proportional to 825.05, 1,138.73 and 471.02 is: 650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.05 : 1,138.73 = 471.02 : x
  2. Step 2: Convert to fraction form
    825.05/1,138.73 = 471.02/x
  3. Step 3: Cross multiply
    825.05x = 1,138.73 × 471.02
  4. Step 4: Simplify right side
    825.05x = 536,356.56
  5. Step 5: Solve for x
    x = 536,356.56/825.05
  6. Step 6: Final answer
    x = 650.09

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.