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Finding the Fourth Proportional to 1,022.88, 1,533.32 and 475.44

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Solution

The fourth proportional to 1,022.88, 1,533.32 and 475.44 is: 712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.88 : 1,533.32 = 475.44 : x
  2. Step 2: Convert to fraction form
    1,022.88/1,533.32 = 475.44/x
  3. Step 3: Cross multiply
    1,022.88x = 1,533.32 × 475.44
  4. Step 4: Simplify right side
    1,022.88x = 729,001.66
  5. Step 5: Solve for x
    x = 729,001.66/1,022.88
  6. Step 6: Final answer
    x = 712.70

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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.