Home / 1,645.52-2,271.08-982.25

Finding the Fourth Proportional to 1,645.52, 2,271.08 and 982.25

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Solution

The fourth proportional to 1,645.52, 2,271.08 and 982.25 is: 1,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.52 : 2,271.08 = 982.25 : x
  2. Step 2: Convert to fraction form
    1,645.52/2,271.08 = 982.25/x
  3. Step 3: Cross multiply
    1,645.52x = 2,271.08 × 982.25
  4. Step 4: Simplify right side
    1,645.52x = 2,230,752.06
  5. Step 5: Solve for x
    x = 2,230,752.06/1,645.52
  6. Step 6: Final answer
    x = 1,355.65

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1.5x scale

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.