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Finding the Fourth Proportional to 1,022.56, 1,533.12 and 636.64

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Solution

The fourth proportional to 1,022.56, 1,533.12 and 636.64 is: 954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.56 : 1,533.12 = 636.64 : x
  2. Step 2: Convert to fraction form
    1,022.56/1,533.12 = 636.64/x
  3. Step 3: Cross multiply
    1,022.56x = 1,533.12 × 636.64
  4. Step 4: Simplify right side
    1,022.56x = 976,045.52
  5. Step 5: Solve for x
    x = 976,045.52/1,022.56
  6. Step 6: Final answer
    x = 954.51

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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.