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Finding the Fourth Proportional to 1,805.89, 2,708.93 and 507.46

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Solution

The fourth proportional to 1,805.89, 2,708.93 and 507.46 is: 761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.89 : 2,708.93 = 507.46 : x
  2. Step 2: Convert to fraction form
    1,805.89/2,708.93 = 507.46/x
  3. Step 3: Cross multiply
    1,805.89x = 2,708.93 × 507.46
  4. Step 4: Simplify right side
    1,805.89x = 1,374,664.31
  5. Step 5: Solve for x
    x = 1,374,664.31/1,805.89
  6. Step 6: Final answer
    x = 761.21

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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.