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Finding the Fourth Proportional to 1,330.33, 1,995.71 and 810.71

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Solution

The fourth proportional to 1,330.33, 1,995.71 and 810.71 is: 1,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.33 : 1,995.71 = 810.71 : x
  2. Step 2: Convert to fraction form
    1,330.33/1,995.71 = 810.71/x
  3. Step 3: Cross multiply
    1,330.33x = 1,995.71 × 810.71
  4. Step 4: Simplify right side
    1,330.33x = 1,617,942.99
  5. Step 5: Solve for x
    x = 1,617,942.99/1,330.33
  6. Step 6: Final answer
    x = 1,216.20

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Double scale
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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.