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Finding the Fourth Proportional to 832.14, 1,246.98 and 523.02

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Solution

The fourth proportional to 832.14, 1,246.98 and 523.02 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.14 : 1,246.98 = 523.02 : x
  2. Step 2: Convert to fraction form
    832.14/1,246.98 = 523.02/x
  3. Step 3: Cross multiply
    832.14x = 1,246.98 × 523.02
  4. Step 4: Simplify right side
    832.14x = 652,195.48
  5. Step 5: Solve for x
    x = 652,195.48/832.14
  6. Step 6: Final answer
    x = 783.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.