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Finding the Fourth Proportional to 725.74, 1,089.08 and 360.84

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Solution

The fourth proportional to 725.74, 1,089.08 and 360.84 is: 541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.74 : 1,089.08 = 360.84 : x
  2. Step 2: Convert to fraction form
    725.74/1,089.08 = 360.84/x
  3. Step 3: Cross multiply
    725.74x = 1,089.08 × 360.84
  4. Step 4: Simplify right side
    725.74x = 392,983.63
  5. Step 5: Solve for x
    x = 392,983.63/725.74
  6. Step 6: Final answer
    x = 541.49

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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.