Home / 1,742.24-2,611.20-646.04

Finding the Fourth Proportional to 1,742.24, 2,611.20 and 646.04

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Solution

The fourth proportional to 1,742.24, 2,611.20 and 646.04 is: 968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.24 : 2,611.20 = 646.04 : x
  2. Step 2: Convert to fraction form
    1,742.24/2,611.20 = 646.04/x
  3. Step 3: Cross multiply
    1,742.24x = 2,611.20 × 646.04
  4. Step 4: Simplify right side
    1,742.24x = 1,686,939.65
  5. Step 5: Solve for x
    x = 1,686,939.65/1,742.24
  6. Step 6: Final answer
    x = 968.26

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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.