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Finding the Fourth Proportional to 1,806.07, 2,709.28 and 507.55

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Solution

The fourth proportional to 1,806.07, 2,709.28 and 507.55 is: 761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.07 : 2,709.28 = 507.55 : x
  2. Step 2: Convert to fraction form
    1,806.07/2,709.28 = 507.55/x
  3. Step 3: Cross multiply
    1,806.07x = 2,709.28 × 507.55
  4. Step 4: Simplify right side
    1,806.07x = 1,375,095.06
  5. Step 5: Solve for x
    x = 1,375,095.06/1,806.07
  6. Step 6: Final answer
    x = 761.37

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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.