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Finding the Fourth Proportional to 1,069.21, 1,604.16 and 657.78

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Solution

The fourth proportional to 1,069.21, 1,604.16 and 657.78 is: 986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.21 : 1,604.16 = 657.78 : x
  2. Step 2: Convert to fraction form
    1,069.21/1,604.16 = 657.78/x
  3. Step 3: Cross multiply
    1,069.21x = 1,604.16 × 657.78
  4. Step 4: Simplify right side
    1,069.21x = 1,055,184.36
  5. Step 5: Solve for x
    x = 1,055,184.36/1,069.21
  6. Step 6: Final answer
    x = 986.88

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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.