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Finding the Fourth Proportional to 827.21, 1,239.91 and 340.00

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Solution

The fourth proportional to 827.21, 1,239.91 and 340.00 is: 509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.21 : 1,239.91 = 340.00 : x
  2. Step 2: Convert to fraction form
    827.21/1,239.91 = 340.00/x
  3. Step 3: Cross multiply
    827.21x = 1,239.91 × 340.00
  4. Step 4: Simplify right side
    827.21x = 421,565.45
  5. Step 5: Solve for x
    x = 421,565.45/827.21
  6. Step 6: Final answer
    x = 509.62

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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.