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Finding the Fourth Proportional to 794.42, 1,096.30 and 440.33

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Solution

The fourth proportional to 794.42, 1,096.30 and 440.33 is: 607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.42 : 1,096.30 = 440.33 : x
  2. Step 2: Convert to fraction form
    794.42/1,096.30 = 440.33/x
  3. Step 3: Cross multiply
    794.42x = 1,096.30 × 440.33
  4. Step 4: Simplify right side
    794.42x = 482,733.78
  5. Step 5: Solve for x
    x = 482,733.78/794.42
  6. Step 6: Final answer
    x = 607.66

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1.5x scale

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.