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Finding the Fourth Proportional to 618.42, 852.59 and 513.12

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Solution

The fourth proportional to 618.42, 852.59 and 513.12 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.42 : 852.59 = 513.12 : x
  2. Step 2: Convert to fraction form
    618.42/852.59 = 513.12/x
  3. Step 3: Cross multiply
    618.42x = 852.59 × 513.12
  4. Step 4: Simplify right side
    618.42x = 437,480.98
  5. Step 5: Solve for x
    x = 437,480.98/618.42
  6. Step 6: Final answer
    x = 707.42

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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.