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Finding the Fourth Proportional to 1,698.53, 2,548.19 and 774.36

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Solution

The fourth proportional to 1,698.53, 2,548.19 and 774.36 is: 1,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.53 : 2,548.19 = 774.36 : x
  2. Step 2: Convert to fraction form
    1,698.53/2,548.19 = 774.36/x
  3. Step 3: Cross multiply
    1,698.53x = 2,548.19 × 774.36
  4. Step 4: Simplify right side
    1,698.53x = 1,973,218.34
  5. Step 5: Solve for x
    x = 1,973,218.34/1,698.53
  6. Step 6: Final answer
    x = 1,161.72

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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.