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Finding the Fourth Proportional to 1,806.46, 2,709.80 and 508.03

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Solution

The fourth proportional to 1,806.46, 2,709.80 and 508.03 is: 762.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.46 : 2,709.80 = 508.03 : x
  2. Step 2: Convert to fraction form
    1,806.46/2,709.80 = 508.03/x
  3. Step 3: Cross multiply
    1,806.46x = 2,709.80 × 508.03
  4. Step 4: Simplify right side
    1,806.46x = 1,376,657.15
  5. Step 5: Solve for x
    x = 1,376,657.15/1,806.46
  6. Step 6: Final answer
    x = 762.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.