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Finding the Fourth Proportional to 719.25, 1,078.88 and 232.34

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Solution

The fourth proportional to 719.25, 1,078.88 and 232.34 is: 348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.25 : 1,078.88 = 232.34 : x
  2. Step 2: Convert to fraction form
    719.25/1,078.88 = 232.34/x
  3. Step 3: Cross multiply
    719.25x = 1,078.88 × 232.34
  4. Step 4: Simplify right side
    719.25x = 250,660.42
  5. Step 5: Solve for x
    x = 250,660.42/719.25
  6. Step 6: Final answer
    x = 348.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.