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Finding the Fourth Proportional to 1,468.67, 2,025.99 and 870.81

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Solution

The fourth proportional to 1,468.67, 2,025.99 and 870.81 is: 1,201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.67 : 2,025.99 = 870.81 : x
  2. Step 2: Convert to fraction form
    1,468.67/2,025.99 = 870.81/x
  3. Step 3: Cross multiply
    1,468.67x = 2,025.99 × 870.81
  4. Step 4: Simplify right side
    1,468.67x = 1,764,252.35
  5. Step 5: Solve for x
    x = 1,764,252.35/1,468.67
  6. Step 6: Final answer
    x = 1,201.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.