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Finding the Fourth Proportional to 1,266.38, 1,899.93 and 433.63

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Solution

The fourth proportional to 1,266.38, 1,899.93 and 433.63 is: 650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.38 : 1,899.93 = 433.63 : x
  2. Step 2: Convert to fraction form
    1,266.38/1,899.93 = 433.63/x
  3. Step 3: Cross multiply
    1,266.38x = 1,899.93 × 433.63
  4. Step 4: Simplify right side
    1,266.38x = 823,868.72
  5. Step 5: Solve for x
    x = 823,868.72/1,266.38
  6. Step 6: Final answer
    x = 650.57

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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.