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Finding the Fourth Proportional to 1,688.08, 2,528.77 and 797.39

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Solution

The fourth proportional to 1,688.08, 2,528.77 and 797.39 is: 1,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.08 : 2,528.77 = 797.39 : x
  2. Step 2: Convert to fraction form
    1,688.08/2,528.77 = 797.39/x
  3. Step 3: Cross multiply
    1,688.08x = 2,528.77 × 797.39
  4. Step 4: Simplify right side
    1,688.08x = 2,016,415.91
  5. Step 5: Solve for x
    x = 2,016,415.91/1,688.08
  6. Step 6: Final answer
    x = 1,194.50

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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.