Home / 1,640.42-2,263.60-977.43

Finding the Fourth Proportional to 1,640.42, 2,263.60 and 977.43

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Solution

The fourth proportional to 1,640.42, 2,263.60 and 977.43 is: 1,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.42 : 2,263.60 = 977.43 : x
  2. Step 2: Convert to fraction form
    1,640.42/2,263.60 = 977.43/x
  3. Step 3: Cross multiply
    1,640.42x = 2,263.60 × 977.43
  4. Step 4: Simplify right side
    1,640.42x = 2,212,510.55
  5. Step 5: Solve for x
    x = 2,212,510.55/1,640.42
  6. Step 6: Final answer
    x = 1,348.75

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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.