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Finding the Fourth Proportional to 792.77, 1,094.45 and 478.09

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Solution

The fourth proportional to 792.77, 1,094.45 and 478.09 is: 660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.77 : 1,094.45 = 478.09 : x
  2. Step 2: Convert to fraction form
    792.77/1,094.45 = 478.09/x
  3. Step 3: Cross multiply
    792.77x = 1,094.45 × 478.09
  4. Step 4: Simplify right side
    792.77x = 523,244.06
  5. Step 5: Solve for x
    x = 523,244.06/792.77
  6. Step 6: Final answer
    x = 660.02

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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.