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Finding the Fourth Proportional to 1,688.51, 2,533.49 and 822.59

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Solution

The fourth proportional to 1,688.51, 2,533.49 and 822.59 is: 1,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.51 : 2,533.49 = 822.59 : x
  2. Step 2: Convert to fraction form
    1,688.51/2,533.49 = 822.59/x
  3. Step 3: Cross multiply
    1,688.51x = 2,533.49 × 822.59
  4. Step 4: Simplify right side
    1,688.51x = 2,084,023.54
  5. Step 5: Solve for x
    x = 2,084,023.54/1,688.51
  6. Step 6: Final answer
    x = 1,234.24

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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.