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Finding the Fourth Proportional to 1,775.94, 2,663.08 and 605.63

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Solution

The fourth proportional to 1,775.94, 2,663.08 and 605.63 is: 908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.94 : 2,663.08 = 605.63 : x
  2. Step 2: Convert to fraction form
    1,775.94/2,663.08 = 605.63/x
  3. Step 3: Cross multiply
    1,775.94x = 2,663.08 × 605.63
  4. Step 4: Simplify right side
    1,775.94x = 1,612,824.80
  5. Step 5: Solve for x
    x = 1,612,824.80/1,775.94
  6. Step 6: Final answer
    x = 908.15

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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.