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Finding the Fourth Proportional to 523.40, 784.90 and 153.09

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Solution

The fourth proportional to 523.40, 784.90 and 153.09 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 784.90 = 153.09 : x
  2. Step 2: Convert to fraction form
    523.40/784.90 = 153.09/x
  3. Step 3: Cross multiply
    523.40x = 784.90 × 153.09
  4. Step 4: Simplify right side
    523.40x = 120,157.59
  5. Step 5: Solve for x
    x = 120,157.59/523.40
  6. Step 6: Final answer
    x = 229.57

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Double scale
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Similar ratio
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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.