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Finding the Fourth Proportional to 618.23, 851.43 and 572.06

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Solution

The fourth proportional to 618.23, 851.43 and 572.06 is: 787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.23 : 851.43 = 572.06 : x
  2. Step 2: Convert to fraction form
    618.23/851.43 = 572.06/x
  3. Step 3: Cross multiply
    618.23x = 851.43 × 572.06
  4. Step 4: Simplify right side
    618.23x = 487,069.05
  5. Step 5: Solve for x
    x = 487,069.05/618.23
  6. Step 6: Final answer
    x = 787.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.