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Finding the Fourth Proportional to 862.01, 1,293 and 314.00

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Solution

The fourth proportional to 862.01, 1,293 and 314.00 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.01 : 1,293 = 314.00 : x
  2. Step 2: Convert to fraction form
    862.01/1,293 = 314.00/x
  3. Step 3: Cross multiply
    862.01x = 1,293 × 314.00
  4. Step 4: Simplify right side
    862.01x = 405,995.54
  5. Step 5: Solve for x
    x = 405,995.54/862.01
  6. Step 6: Final answer
    x = 470.99

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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.