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Finding the Fourth Proportional to 1,799.10, 2,698.64 and 549.68

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Solution

The fourth proportional to 1,799.10, 2,698.64 and 549.68 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.10 : 2,698.64 = 549.68 : x
  2. Step 2: Convert to fraction form
    1,799.10/2,698.64 = 549.68/x
  3. Step 3: Cross multiply
    1,799.10x = 2,698.64 × 549.68
  4. Step 4: Simplify right side
    1,799.10x = 1,483,372.19
  5. Step 5: Solve for x
    x = 1,483,372.19/1,799.10
  6. Step 6: Final answer
    x = 824.51

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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.