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Finding the Fourth Proportional to 794.74, 1,192.28 and 307.93

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Solution

The fourth proportional to 794.74, 1,192.28 and 307.93 is: 461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.74 : 1,192.28 = 307.93 : x
  2. Step 2: Convert to fraction form
    794.74/1,192.28 = 307.93/x
  3. Step 3: Cross multiply
    794.74x = 1,192.28 × 307.93
  4. Step 4: Simplify right side
    794.74x = 367,137.24
  5. Step 5: Solve for x
    x = 367,137.24/794.74
  6. Step 6: Final answer
    x = 461.96

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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.