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Finding the Fourth Proportional to 1,767.73, 2,652.51 and 728.50

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Solution

The fourth proportional to 1,767.73, 2,652.51 and 728.50 is: 1,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.73 : 2,652.51 = 728.50 : x
  2. Step 2: Convert to fraction form
    1,767.73/2,652.51 = 728.50/x
  3. Step 3: Cross multiply
    1,767.73x = 2,652.51 × 728.50
  4. Step 4: Simplify right side
    1,767.73x = 1,932,360.17
  5. Step 5: Solve for x
    x = 1,932,360.17/1,767.73
  6. Step 6: Final answer
    x = 1,093.13

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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.