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Finding the Fourth Proportional to 618.50, 852.30 and 610.83

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Solution

The fourth proportional to 618.50, 852.30 and 610.83 is: 841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.50 : 852.30 = 610.83 : x
  2. Step 2: Convert to fraction form
    618.50/852.30 = 610.83/x
  3. Step 3: Cross multiply
    618.50x = 852.30 × 610.83
  4. Step 4: Simplify right side
    618.50x = 520,610.41
  5. Step 5: Solve for x
    x = 520,610.41/618.50
  6. Step 6: Final answer
    x = 841.74

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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.