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Finding the Fourth Proportional to 827.54, 1,240.05 and 340.01

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Solution

The fourth proportional to 827.54, 1,240.05 and 340.01 is: 509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.54 : 1,240.05 = 340.01 : x
  2. Step 2: Convert to fraction form
    827.54/1,240.05 = 340.01/x
  3. Step 3: Cross multiply
    827.54x = 1,240.05 × 340.01
  4. Step 4: Simplify right side
    827.54x = 421,629.40
  5. Step 5: Solve for x
    x = 421,629.40/827.54
  6. Step 6: Final answer
    x = 509.50

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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.