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Finding the Fourth Proportional to 792.69, 1,093.58 and 477.96

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Solution

The fourth proportional to 792.69, 1,093.58 and 477.96 is: 659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.69 : 1,093.58 = 477.96 : x
  2. Step 2: Convert to fraction form
    792.69/1,093.58 = 477.96/x
  3. Step 3: Cross multiply
    792.69x = 1,093.58 × 477.96
  4. Step 4: Simplify right side
    792.69x = 522,685.11
  5. Step 5: Solve for x
    x = 522,685.11/792.69
  6. Step 6: Final answer
    x = 659.38

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Half scale
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Double scale
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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.