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Finding the Fourth Proportional to 1,266.17, 1,896.55 and 718.07

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Solution

The fourth proportional to 1,266.17, 1,896.55 and 718.07 is: 1,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.17 : 1,896.55 = 718.07 : x
  2. Step 2: Convert to fraction form
    1,266.17/1,896.55 = 718.07/x
  3. Step 3: Cross multiply
    1,266.17x = 1,896.55 × 718.07
  4. Step 4: Simplify right side
    1,266.17x = 1,361,844.38
  5. Step 5: Solve for x
    x = 1,361,844.38/1,266.17
  6. Step 6: Final answer
    x = 1,075.57

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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.