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Finding the Fourth Proportional to 820.61, 1,231.07 and 334.01

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Solution

The fourth proportional to 820.61, 1,231.07 and 334.01 is: 501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.61 : 1,231.07 = 334.01 : x
  2. Step 2: Convert to fraction form
    820.61/1,231.07 = 334.01/x
  3. Step 3: Cross multiply
    820.61x = 1,231.07 × 334.01
  4. Step 4: Simplify right side
    820.61x = 411,181.87
  5. Step 5: Solve for x
    x = 411,181.87/820.61
  6. Step 6: Final answer
    x = 501.07

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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.