Home / 1,646.25-2,271.81-900.22

Finding the Fourth Proportional to 1,646.25, 2,271.81 and 900.22

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Solution

The fourth proportional to 1,646.25, 2,271.81 and 900.22 is: 1,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.25 : 2,271.81 = 900.22 : x
  2. Step 2: Convert to fraction form
    1,646.25/2,271.81 = 900.22/x
  3. Step 3: Cross multiply
    1,646.25x = 2,271.81 × 900.22
  4. Step 4: Simplify right side
    1,646.25x = 2,045,117.44
  5. Step 5: Solve for x
    x = 2,045,117.44/1,646.25
  6. Step 6: Final answer
    x = 1,242.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.