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Finding the Fourth Proportional to 1,664.31, 2,479.02 and 1,580.07

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Solution

The fourth proportional to 1,664.31, 2,479.02 and 1,580.07 is: 2,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.31 : 2,479.02 = 1,580.07 : x
  2. Step 2: Convert to fraction form
    1,664.31/2,479.02 = 1,580.07/x
  3. Step 3: Cross multiply
    1,664.31x = 2,479.02 × 1,580.07
  4. Step 4: Simplify right side
    1,664.31x = 3,917,025.13
  5. Step 5: Solve for x
    x = 3,917,025.13/1,664.31
  6. Step 6: Final answer
    x = 2,353.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.