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Finding the Fourth Proportional to 1,022.76, 1,533.64 and 948.68

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Solution

The fourth proportional to 1,022.76, 1,533.64 and 948.68 is: 1,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.76 : 1,533.64 = 948.68 : x
  2. Step 2: Convert to fraction form
    1,022.76/1,533.64 = 948.68/x
  3. Step 3: Cross multiply
    1,022.76x = 1,533.64 × 948.68
  4. Step 4: Simplify right side
    1,022.76x = 1,454,933.60
  5. Step 5: Solve for x
    x = 1,454,933.60/1,022.76
  6. Step 6: Final answer
    x = 1,422.56

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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.