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Finding the Fourth Proportional to 578.52, 863.85 and 455.40

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Solution

The fourth proportional to 578.52, 863.85 and 455.40 is: 680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.52 : 863.85 = 455.40 : x
  2. Step 2: Convert to fraction form
    578.52/863.85 = 455.40/x
  3. Step 3: Cross multiply
    578.52x = 863.85 × 455.40
  4. Step 4: Simplify right side
    578.52x = 393,397.29
  5. Step 5: Solve for x
    x = 393,397.29/578.52
  6. Step 6: Final answer
    x = 680.01

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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.