Home / 1,640.42-2,263.59-977.30

Finding the Fourth Proportional to 1,640.42, 2,263.59 and 977.30

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Solution

The fourth proportional to 1,640.42, 2,263.59 and 977.30 is: 1,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.42 : 2,263.59 = 977.30 : x
  2. Step 2: Convert to fraction form
    1,640.42/2,263.59 = 977.30/x
  3. Step 3: Cross multiply
    1,640.42x = 2,263.59 × 977.30
  4. Step 4: Simplify right side
    1,640.42x = 2,212,206.51
  5. Step 5: Solve for x
    x = 2,212,206.51/1,640.42
  6. Step 6: Final answer
    x = 1,348.56

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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.