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Finding the Fourth Proportional to 794.89, 1,097.16 and 463.42

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Solution

The fourth proportional to 794.89, 1,097.16 and 463.42 is: 639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.89 : 1,097.16 = 463.42 : x
  2. Step 2: Convert to fraction form
    794.89/1,097.16 = 463.42/x
  3. Step 3: Cross multiply
    794.89x = 1,097.16 × 463.42
  4. Step 4: Simplify right side
    794.89x = 508,440.40
  5. Step 5: Solve for x
    x = 508,440.40/794.89
  6. Step 6: Final answer
    x = 639.64

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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.