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Finding the Fourth Proportional to 794.77, 1,192.16 and 355.91

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Solution

The fourth proportional to 794.77, 1,192.16 and 355.91 is: 533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.77 : 1,192.16 = 355.91 : x
  2. Step 2: Convert to fraction form
    794.77/1,192.16 = 355.91/x
  3. Step 3: Cross multiply
    794.77x = 1,192.16 × 355.91
  4. Step 4: Simplify right side
    794.77x = 424,301.67
  5. Step 5: Solve for x
    x = 424,301.67/794.77
  6. Step 6: Final answer
    x = 533.87

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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.