Home / 1,664.19-2,495.27-713.22

Finding the Fourth Proportional to 1,664.19, 2,495.27 and 713.22

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Solution

The fourth proportional to 1,664.19, 2,495.27 and 713.22 is: 1,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.19 : 2,495.27 = 713.22 : x
  2. Step 2: Convert to fraction form
    1,664.19/2,495.27 = 713.22/x
  3. Step 3: Cross multiply
    1,664.19x = 2,495.27 × 713.22
  4. Step 4: Simplify right side
    1,664.19x = 1,779,672.90
  5. Step 5: Solve for x
    x = 1,779,672.90/1,664.19
  6. Step 6: Final answer
    x = 1,069.39

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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.