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Finding the Fourth Proportional to 1,206.44, 1,810.74 and 841.49

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Solution

The fourth proportional to 1,206.44, 1,810.74 and 841.49 is: 1,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.44 : 1,810.74 = 841.49 : x
  2. Step 2: Convert to fraction form
    1,206.44/1,810.74 = 841.49/x
  3. Step 3: Cross multiply
    1,206.44x = 1,810.74 × 841.49
  4. Step 4: Simplify right side
    1,206.44x = 1,523,719.60
  5. Step 5: Solve for x
    x = 1,523,719.60/1,206.44
  6. Step 6: Final answer
    x = 1,262.99

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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.