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Finding the Fourth Proportional to 1,748.44, 2,623.14 and 722.20

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Solution

The fourth proportional to 1,748.44, 2,623.14 and 722.20 is: 1,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.44 : 2,623.14 = 722.20 : x
  2. Step 2: Convert to fraction form
    1,748.44/2,623.14 = 722.20/x
  3. Step 3: Cross multiply
    1,748.44x = 2,623.14 × 722.20
  4. Step 4: Simplify right side
    1,748.44x = 1,894,431.71
  5. Step 5: Solve for x
    x = 1,894,431.71/1,748.44
  6. Step 6: Final answer
    x = 1,083.50

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Half scale
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Double scale
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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.