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Finding the Fourth Proportional to 523.12, 784.54 and 157.81

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Solution

The fourth proportional to 523.12, 784.54 and 157.81 is: 236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 784.54 = 157.81 : x
  2. Step 2: Convert to fraction form
    523.12/784.54 = 157.81/x
  3. Step 3: Cross multiply
    523.12x = 784.54 × 157.81
  4. Step 4: Simplify right side
    523.12x = 123,808.26
  5. Step 5: Solve for x
    x = 123,808.26/523.12
  6. Step 6: Final answer
    x = 236.67

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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.