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Finding the Fourth Proportional to 957.76, 1,321.36 and 783.84

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Solution

The fourth proportional to 957.76, 1,321.36 and 783.84 is: 1,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.76 : 1,321.36 = 783.84 : x
  2. Step 2: Convert to fraction form
    957.76/1,321.36 = 783.84/x
  3. Step 3: Cross multiply
    957.76x = 1,321.36 × 783.84
  4. Step 4: Simplify right side
    957.76x = 1,035,734.82
  5. Step 5: Solve for x
    x = 1,035,734.82/957.76
  6. Step 6: Final answer
    x = 1,081.41

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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.