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Finding the Fourth Proportional to 1,741.08, 2,611.32 and 645.36

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Solution

The fourth proportional to 1,741.08, 2,611.32 and 645.36 is: 967.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.08 : 2,611.32 = 645.36 : x
  2. Step 2: Convert to fraction form
    1,741.08/2,611.32 = 645.36/x
  3. Step 3: Cross multiply
    1,741.08x = 2,611.32 × 645.36
  4. Step 4: Simplify right side
    1,741.08x = 1,685,241.48
  5. Step 5: Solve for x
    x = 1,685,241.48/1,741.08
  6. Step 6: Final answer
    x = 967.93

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1.5x scale

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.