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Finding the Fourth Proportional to 2,199.34, 3,298.90 and 555.80

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Solution

The fourth proportional to 2,199.34, 3,298.90 and 555.80 is: 833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.34 : 3,298.90 = 555.80 : x
  2. Step 2: Convert to fraction form
    2,199.34/3,298.90 = 555.80/x
  3. Step 3: Cross multiply
    2,199.34x = 3,298.90 × 555.80
  4. Step 4: Simplify right side
    2,199.34x = 1,833,528.62
  5. Step 5: Solve for x
    x = 1,833,528.62/2,199.34
  6. Step 6: Final answer
    x = 833.67

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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.