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Finding the Fourth Proportional to 793.07, 1,095.15 and 513.75

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Solution

The fourth proportional to 793.07, 1,095.15 and 513.75 is: 709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.07 : 1,095.15 = 513.75 : x
  2. Step 2: Convert to fraction form
    793.07/1,095.15 = 513.75/x
  3. Step 3: Cross multiply
    793.07x = 1,095.15 × 513.75
  4. Step 4: Simplify right side
    793.07x = 562,630.74
  5. Step 5: Solve for x
    x = 562,630.74/793.07
  6. Step 6: Final answer
    x = 709.44

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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.