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Finding the Fourth Proportional to 827.34, 1,240.06 and 339.78

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Solution

The fourth proportional to 827.34, 1,240.06 and 339.78 is: 509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.34 : 1,240.06 = 339.78 : x
  2. Step 2: Convert to fraction form
    827.34/1,240.06 = 339.78/x
  3. Step 3: Cross multiply
    827.34x = 1,240.06 × 339.78
  4. Step 4: Simplify right side
    827.34x = 421,345.89
  5. Step 5: Solve for x
    x = 421,345.89/827.34
  6. Step 6: Final answer
    x = 509.28

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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.