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Finding the Fourth Proportional to 1,763.57, 2,645.36 and 723.39

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Solution

The fourth proportional to 1,763.57, 2,645.36 and 723.39 is: 1,085.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.57 : 2,645.36 = 723.39 : x
  2. Step 2: Convert to fraction form
    1,763.57/2,645.36 = 723.39/x
  3. Step 3: Cross multiply
    1,763.57x = 2,645.36 × 723.39
  4. Step 4: Simplify right side
    1,763.57x = 1,913,623.35
  5. Step 5: Solve for x
    x = 1,913,623.35/1,763.57
  6. Step 6: Final answer
    x = 1,085.09

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Similar ratio
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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.