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Finding the Fourth Proportional to 794.75, 1,096.75 and 463.40

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Solution

The fourth proportional to 794.75, 1,096.75 and 463.40 is: 639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.75 : 1,096.75 = 463.40 : x
  2. Step 2: Convert to fraction form
    794.75/1,096.75 = 463.40/x
  3. Step 3: Cross multiply
    794.75x = 1,096.75 × 463.40
  4. Step 4: Simplify right side
    794.75x = 508,227.31
  5. Step 5: Solve for x
    x = 508,227.31/794.75
  6. Step 6: Final answer
    x = 639.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.