Home / 1,577.74-2,177.24-914.57

Finding the Fourth Proportional to 1,577.74, 2,177.24 and 914.57

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Solution

The fourth proportional to 1,577.74, 2,177.24 and 914.57 is: 1,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.74 : 2,177.24 = 914.57 : x
  2. Step 2: Convert to fraction form
    1,577.74/2,177.24 = 914.57/x
  3. Step 3: Cross multiply
    1,577.74x = 2,177.24 × 914.57
  4. Step 4: Simplify right side
    1,577.74x = 1,991,238.39
  5. Step 5: Solve for x
    x = 1,991,238.39/1,577.74
  6. Step 6: Final answer
    x = 1,262.09

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1.5x scale

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.