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Finding the Fourth Proportional to 1,779.45, 2,664.60 and 1,316.53

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Solution

The fourth proportional to 1,779.45, 2,664.60 and 1,316.53 is: 1,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.45 : 2,664.60 = 1,316.53 : x
  2. Step 2: Convert to fraction form
    1,779.45/2,664.60 = 1,316.53/x
  3. Step 3: Cross multiply
    1,779.45x = 2,664.60 × 1,316.53
  4. Step 4: Simplify right side
    1,779.45x = 3,508,025.84
  5. Step 5: Solve for x
    x = 3,508,025.84/1,779.45
  6. Step 6: Final answer
    x = 1,971.41

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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.