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Finding the Fourth Proportional to 578.92, 863.81 and 524.20

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Solution

The fourth proportional to 578.92, 863.81 and 524.20 is: 782.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.92 : 863.81 = 524.20 : x
  2. Step 2: Convert to fraction form
    578.92/863.81 = 524.20/x
  3. Step 3: Cross multiply
    578.92x = 863.81 × 524.20
  4. Step 4: Simplify right side
    578.92x = 452,809.20
  5. Step 5: Solve for x
    x = 452,809.20/578.92
  6. Step 6: Final answer
    x = 782.16

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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.