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Finding the Fourth Proportional to 795.52, 1,193.64 and 411.04

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Solution

The fourth proportional to 795.52, 1,193.64 and 411.04 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.52 : 1,193.64 = 411.04 : x
  2. Step 2: Convert to fraction form
    795.52/1,193.64 = 411.04/x
  3. Step 3: Cross multiply
    795.52x = 1,193.64 × 411.04
  4. Step 4: Simplify right side
    795.52x = 490,633.79
  5. Step 5: Solve for x
    x = 490,633.79/795.52
  6. Step 6: Final answer
    x = 616.75

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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.