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Finding the Fourth Proportional to 792.76, 1,094.46 and 513.40

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Solution

The fourth proportional to 792.76, 1,094.46 and 513.40 is: 708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.76 : 1,094.46 = 513.40 : x
  2. Step 2: Convert to fraction form
    792.76/1,094.46 = 513.40/x
  3. Step 3: Cross multiply
    792.76x = 1,094.46 × 513.40
  4. Step 4: Simplify right side
    792.76x = 561,895.76
  5. Step 5: Solve for x
    x = 561,895.76/792.76
  6. Step 6: Final answer
    x = 708.78

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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.