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Finding the Fourth Proportional to 1,022.56, 1,533.66 and 474.70

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Solution

The fourth proportional to 1,022.56, 1,533.66 and 474.70 is: 711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.56 : 1,533.66 = 474.70 : x
  2. Step 2: Convert to fraction form
    1,022.56/1,533.66 = 474.70/x
  3. Step 3: Cross multiply
    1,022.56x = 1,533.66 × 474.70
  4. Step 4: Simplify right side
    1,022.56x = 728,028.40
  5. Step 5: Solve for x
    x = 728,028.40/1,022.56
  6. Step 6: Final answer
    x = 711.97

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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.