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Finding the Fourth Proportional to 1,779.57, 2,669.72 and 609.66

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Solution

The fourth proportional to 1,779.57, 2,669.72 and 609.66 is: 914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.57 : 2,669.72 = 609.66 : x
  2. Step 2: Convert to fraction form
    1,779.57/2,669.72 = 609.66/x
  3. Step 3: Cross multiply
    1,779.57x = 2,669.72 × 609.66
  4. Step 4: Simplify right side
    1,779.57x = 1,627,605.10
  5. Step 5: Solve for x
    x = 1,627,605.10/1,779.57
  6. Step 6: Final answer
    x = 914.61

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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.