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Finding the Fourth Proportional to 2,199.34, 3,298.44 and 638.93

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Solution

The fourth proportional to 2,199.34, 3,298.44 and 638.93 is: 958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.34 : 3,298.44 = 638.93 : x
  2. Step 2: Convert to fraction form
    2,199.34/3,298.44 = 638.93/x
  3. Step 3: Cross multiply
    2,199.34x = 3,298.44 × 638.93
  4. Step 4: Simplify right side
    2,199.34x = 2,107,452.58
  5. Step 5: Solve for x
    x = 2,107,452.58/2,199.34
  6. Step 6: Final answer
    x = 958.22

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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.