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Finding the Fourth Proportional to 1,805.89, 2,708.85 and 507.37

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Solution

The fourth proportional to 1,805.89, 2,708.85 and 507.37 is: 761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.89 : 2,708.85 = 507.37 : x
  2. Step 2: Convert to fraction form
    1,805.89/2,708.85 = 507.37/x
  3. Step 3: Cross multiply
    1,805.89x = 2,708.85 × 507.37
  4. Step 4: Simplify right side
    1,805.89x = 1,374,389.22
  5. Step 5: Solve for x
    x = 1,374,389.22/1,805.89
  6. Step 6: Final answer
    x = 761.06

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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.