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Finding the Fourth Proportional to 1,784.19, 2,462.34 and 998.49

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Solution

The fourth proportional to 1,784.19, 2,462.34 and 998.49 is: 1,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.19 : 2,462.34 = 998.49 : x
  2. Step 2: Convert to fraction form
    1,784.19/2,462.34 = 998.49/x
  3. Step 3: Cross multiply
    1,784.19x = 2,462.34 × 998.49
  4. Step 4: Simplify right side
    1,784.19x = 2,458,621.87
  5. Step 5: Solve for x
    x = 2,458,621.87/1,784.19
  6. Step 6: Final answer
    x = 1,378.00

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Half scale
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Double scale
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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.