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Finding the Fourth Proportional to 578.43, 863.30 and 500.00

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Solution

The fourth proportional to 578.43, 863.30 and 500.00 is: 746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.43 : 863.30 = 500.00 : x
  2. Step 2: Convert to fraction form
    578.43/863.30 = 500.00/x
  3. Step 3: Cross multiply
    578.43x = 863.30 × 500.00
  4. Step 4: Simplify right side
    578.43x = 431,646.93
  5. Step 5: Solve for x
    x = 431,646.93/578.43
  6. Step 6: Final answer
    x = 746.24

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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.