Home / 1,640.48-2,264.06-977.33

Finding the Fourth Proportional to 1,640.48, 2,264.06 and 977.33

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Solution

The fourth proportional to 1,640.48, 2,264.06 and 977.33 is: 1,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.48 : 2,264.06 = 977.33 : x
  2. Step 2: Convert to fraction form
    1,640.48/2,264.06 = 977.33/x
  3. Step 3: Cross multiply
    1,640.48x = 2,264.06 × 977.33
  4. Step 4: Simplify right side
    1,640.48x = 2,212,741.86
  5. Step 5: Solve for x
    x = 2,212,741.86/1,640.48
  6. Step 6: Final answer
    x = 1,348.84

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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.