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Finding the Fourth Proportional to 1,206.99, 1,810.22 and 427.10

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Solution

The fourth proportional to 1,206.99, 1,810.22 and 427.10 is: 640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.99 : 1,810.22 = 427.10 : x
  2. Step 2: Convert to fraction form
    1,206.99/1,810.22 = 427.10/x
  3. Step 3: Cross multiply
    1,206.99x = 1,810.22 × 427.10
  4. Step 4: Simplify right side
    1,206.99x = 773,133.78
  5. Step 5: Solve for x
    x = 773,133.78/1,206.99
  6. Step 6: Final answer
    x = 640.55

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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.