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Finding the Fourth Proportional to 618.21, 852.78 and 508.20

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Solution

The fourth proportional to 618.21, 852.78 and 508.20 is: 701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.21 : 852.78 = 508.20 : x
  2. Step 2: Convert to fraction form
    618.21/852.78 = 508.20/x
  3. Step 3: Cross multiply
    618.21x = 852.78 × 508.20
  4. Step 4: Simplify right side
    618.21x = 433,382.80
  5. Step 5: Solve for x
    x = 433,382.80/618.21
  6. Step 6: Final answer
    x = 701.03

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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.