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Finding the Fourth Proportional to 578.94, 794.18 and 547.56

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Solution

The fourth proportional to 578.94, 794.18 and 547.56 is: 751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.94 : 794.18 = 547.56 : x
  2. Step 2: Convert to fraction form
    578.94/794.18 = 547.56/x
  3. Step 3: Cross multiply
    578.94x = 794.18 × 547.56
  4. Step 4: Simplify right side
    578.94x = 434,857.23
  5. Step 5: Solve for x
    x = 434,857.23/578.94
  6. Step 6: Final answer
    x = 751.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.