Home / 1,984.19-2,976.96-597.49

Finding the Fourth Proportional to 1,984.19, 2,976.96 and 597.49

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Solution

The fourth proportional to 1,984.19, 2,976.96 and 597.49 is: 896.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.19 : 2,976.96 = 597.49 : x
  2. Step 2: Convert to fraction form
    1,984.19/2,976.96 = 597.49/x
  3. Step 3: Cross multiply
    1,984.19x = 2,976.96 × 597.49
  4. Step 4: Simplify right side
    1,984.19x = 1,778,698.63
  5. Step 5: Solve for x
    x = 1,778,698.63/1,984.19
  6. Step 6: Final answer
    x = 896.44

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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.