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Finding the Fourth Proportional to 618.42, 847.22 and 595.02

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Solution

The fourth proportional to 618.42, 847.22 and 595.02 is: 815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 847.22 = 595.02 : x
  2. Step 2: Convert to fraction form
    618.42/847.22 = 595.02/x
  3. Step 3: Cross multiply
    618.42x = 847.22 × 595.02
  4. Step 4: Simplify right side
    618.42x = 504,114.85
  5. Step 5: Solve for x
    x = 504,114.85/618.42
  6. Step 6: Final answer
    x = 815.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.