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Finding the Fourth Proportional to 792.84, 1,094.60 and 513.16

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Solution

The fourth proportional to 792.84, 1,094.60 and 513.16 is: 708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.84 : 1,094.60 = 513.16 : x
  2. Step 2: Convert to fraction form
    792.84/1,094.60 = 513.16/x
  3. Step 3: Cross multiply
    792.84x = 1,094.60 × 513.16
  4. Step 4: Simplify right side
    792.84x = 561,704.94
  5. Step 5: Solve for x
    x = 561,704.94/792.84
  6. Step 6: Final answer
    x = 708.47

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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.