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Finding the Fourth Proportional to 957.44, 1,320.64 and 914.56

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Solution

The fourth proportional to 957.44, 1,320.64 and 914.56 is: 1,261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.44 : 1,320.64 = 914.56 : x
  2. Step 2: Convert to fraction form
    957.44/1,320.64 = 914.56/x
  3. Step 3: Cross multiply
    957.44x = 1,320.64 × 914.56
  4. Step 4: Simplify right side
    957.44x = 1,207,804.52
  5. Step 5: Solve for x
    x = 1,207,804.52/957.44
  6. Step 6: Final answer
    x = 1,261.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.