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Finding the Fourth Proportional to 1,056.28, 1,449.56 and 957.76

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Solution

The fourth proportional to 1,056.28, 1,449.56 and 957.76 is: 1,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.28 : 1,449.56 = 957.76 : x
  2. Step 2: Convert to fraction form
    1,056.28/1,449.56 = 957.76/x
  3. Step 3: Cross multiply
    1,056.28x = 1,449.56 × 957.76
  4. Step 4: Simplify right side
    1,056.28x = 1,388,330.59
  5. Step 5: Solve for x
    x = 1,388,330.59/1,056.28
  6. Step 6: Final answer
    x = 1,314.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.