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Finding the Fourth Proportional to 578.75, 860.93 and 572.87

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Solution

The fourth proportional to 578.75, 860.93 and 572.87 is: 852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 860.93 = 572.87 : x
  2. Step 2: Convert to fraction form
    578.75/860.93 = 572.87/x
  3. Step 3: Cross multiply
    578.75x = 860.93 × 572.87
  4. Step 4: Simplify right side
    578.75x = 493,202.41
  5. Step 5: Solve for x
    x = 493,202.41/578.75
  6. Step 6: Final answer
    x = 852.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.