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Finding the Fourth Proportional to 1,803.89, 2,705.84 and 435.89

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Solution

The fourth proportional to 1,803.89, 2,705.84 and 435.89 is: 653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.89 : 2,705.84 = 435.89 : x
  2. Step 2: Convert to fraction form
    1,803.89/2,705.84 = 435.89/x
  3. Step 3: Cross multiply
    1,803.89x = 2,705.84 × 435.89
  4. Step 4: Simplify right side
    1,803.89x = 1,179,446.42
  5. Step 5: Solve for x
    x = 1,179,446.42/1,803.89
  6. Step 6: Final answer
    x = 653.84

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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.