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Finding the Fourth Proportional to 828.04, 1,240.86 and 340.48

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Solution

The fourth proportional to 828.04, 1,240.86 and 340.48 is: 510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.04 : 1,240.86 = 340.48 : x
  2. Step 2: Convert to fraction form
    828.04/1,240.86 = 340.48/x
  3. Step 3: Cross multiply
    828.04x = 1,240.86 × 340.48
  4. Step 4: Simplify right side
    828.04x = 422,488.01
  5. Step 5: Solve for x
    x = 422,488.01/828.04
  6. Step 6: Final answer
    x = 510.23

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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.