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Finding the Fourth Proportional to 793.08, 1,094.08 and 513.40

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Solution

The fourth proportional to 793.08, 1,094.08 and 513.40 is: 708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.08 : 1,094.08 = 513.40 : x
  2. Step 2: Convert to fraction form
    793.08/1,094.08 = 513.40/x
  3. Step 3: Cross multiply
    793.08x = 1,094.08 × 513.40
  4. Step 4: Simplify right side
    793.08x = 561,700.48
  5. Step 5: Solve for x
    x = 561,700.48/793.08
  6. Step 6: Final answer
    x = 708.26

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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.