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Finding the Fourth Proportional to 957.60, 1,429.20 and 842.40

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Solution

The fourth proportional to 957.60, 1,429.20 and 842.40 is: 1,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.60 : 1,429.20 = 842.40 : x
  2. Step 2: Convert to fraction form
    957.60/1,429.20 = 842.40/x
  3. Step 3: Cross multiply
    957.60x = 1,429.20 × 842.40
  4. Step 4: Simplify right side
    957.60x = 1,203,958.08
  5. Step 5: Solve for x
    x = 1,203,958.08/957.60
  6. Step 6: Final answer
    x = 1,257.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.