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Finding the Fourth Proportional to 794.39, 1,192.04 and 307.40

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Solution

The fourth proportional to 794.39, 1,192.04 and 307.40 is: 461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.39 : 1,192.04 = 307.40 : x
  2. Step 2: Convert to fraction form
    794.39/1,192.04 = 307.40/x
  3. Step 3: Cross multiply
    794.39x = 1,192.04 × 307.40
  4. Step 4: Simplify right side
    794.39x = 366,433.10
  5. Step 5: Solve for x
    x = 366,433.10/794.39
  6. Step 6: Final answer
    x = 461.28

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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.