Home / 1,640.40-2,264.26-977.46

Finding the Fourth Proportional to 1,640.40, 2,264.26 and 977.46

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Solution

The fourth proportional to 1,640.40, 2,264.26 and 977.46 is: 1,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.40 : 2,264.26 = 977.46 : x
  2. Step 2: Convert to fraction form
    1,640.40/2,264.26 = 977.46/x
  3. Step 3: Cross multiply
    1,640.40x = 2,264.26 × 977.46
  4. Step 4: Simplify right side
    1,640.40x = 2,213,223.58
  5. Step 5: Solve for x
    x = 2,213,223.58/1,640.40
  6. Step 6: Final answer
    x = 1,349.20

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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.