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Finding the Fourth Proportional to 1,079.49, 1,619.21 and 299.50

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Solution

The fourth proportional to 1,079.49, 1,619.21 and 299.50 is: 449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.49 : 1,619.21 = 299.50 : x
  2. Step 2: Convert to fraction form
    1,079.49/1,619.21 = 299.50/x
  3. Step 3: Cross multiply
    1,079.49x = 1,619.21 × 299.50
  4. Step 4: Simplify right side
    1,079.49x = 484,946.38
  5. Step 5: Solve for x
    x = 484,946.38/1,079.49
  6. Step 6: Final answer
    x = 449.24

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.