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Finding the Fourth Proportional to 1,688.77, 2,528.49 and 865.27

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Solution

The fourth proportional to 1,688.77, 2,528.49 and 865.27 is: 1,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.77 : 2,528.49 = 865.27 : x
  2. Step 2: Convert to fraction form
    1,688.77/2,528.49 = 865.27/x
  3. Step 3: Cross multiply
    1,688.77x = 2,528.49 × 865.27
  4. Step 4: Simplify right side
    1,688.77x = 2,187,826.54
  5. Step 5: Solve for x
    x = 2,187,826.54/1,688.77
  6. Step 6: Final answer
    x = 1,295.51

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1.5x scale

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.