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Finding the Fourth Proportional to 1,763.62, 2,645.80 and 840.22

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Solution

The fourth proportional to 1,763.62, 2,645.80 and 840.22 is: 1,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.62 : 2,645.80 = 840.22 : x
  2. Step 2: Convert to fraction form
    1,763.62/2,645.80 = 840.22/x
  3. Step 3: Cross multiply
    1,763.62x = 2,645.80 × 840.22
  4. Step 4: Simplify right side
    1,763.62x = 2,223,054.08
  5. Step 5: Solve for x
    x = 2,223,054.08/1,763.62
  6. Step 6: Final answer
    x = 1,260.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.