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Finding the Fourth Proportional to 1,069.55, 1,476.14 and 649.97

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Solution

The fourth proportional to 1,069.55, 1,476.14 and 649.97 is: 897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.55 : 1,476.14 = 649.97 : x
  2. Step 2: Convert to fraction form
    1,069.55/1,476.14 = 649.97/x
  3. Step 3: Cross multiply
    1,069.55x = 1,476.14 × 649.97
  4. Step 4: Simplify right side
    1,069.55x = 959,436.09
  5. Step 5: Solve for x
    x = 959,436.09/1,069.55
  6. Step 6: Final answer
    x = 897.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.