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Finding the Fourth Proportional to 578.56, 794.72 and 570.48

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Solution

The fourth proportional to 578.56, 794.72 and 570.48 is: 783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.56 : 794.72 = 570.48 : x
  2. Step 2: Convert to fraction form
    578.56/794.72 = 570.48/x
  3. Step 3: Cross multiply
    578.56x = 794.72 × 570.48
  4. Step 4: Simplify right side
    578.56x = 453,371.87
  5. Step 5: Solve for x
    x = 453,371.87/578.56
  6. Step 6: Final answer
    x = 783.62

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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.