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Finding the Fourth Proportional to 600.63, 905.12 and 572.82

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Solution

The fourth proportional to 600.63, 905.12 and 572.82 is: 863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.63 : 905.12 = 572.82 : x
  2. Step 2: Convert to fraction form
    600.63/905.12 = 572.82/x
  3. Step 3: Cross multiply
    600.63x = 905.12 × 572.82
  4. Step 4: Simplify right side
    600.63x = 518,467.97
  5. Step 5: Solve for x
    x = 518,467.97/600.63
  6. Step 6: Final answer
    x = 863.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.