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Finding the Fourth Proportional to 1,979.61, 2,969.58 and 663.30

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Solution

The fourth proportional to 1,979.61, 2,969.58 and 663.30 is: 995.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.61 : 2,969.58 = 663.30 : x
  2. Step 2: Convert to fraction form
    1,979.61/2,969.58 = 663.30/x
  3. Step 3: Cross multiply
    1,979.61x = 2,969.58 × 663.30
  4. Step 4: Simplify right side
    1,979.61x = 1,969,722.41
  5. Step 5: Solve for x
    x = 1,969,722.41/1,979.61
  6. Step 6: Final answer
    x = 995.01

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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.