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Finding the Fourth Proportional to 731.98, 1,097.86 and 245.04

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Solution

The fourth proportional to 731.98, 1,097.86 and 245.04 is: 367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.98 : 1,097.86 = 245.04 : x
  2. Step 2: Convert to fraction form
    731.98/1,097.86 = 245.04/x
  3. Step 3: Cross multiply
    731.98x = 1,097.86 × 245.04
  4. Step 4: Simplify right side
    731.98x = 269,014.88
  5. Step 5: Solve for x
    x = 269,014.88/731.98
  6. Step 6: Final answer
    x = 367.52

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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.