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Finding the Fourth Proportional to 1,705.81, 2,354.45 and 1,043.05

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Solution

The fourth proportional to 1,705.81, 2,354.45 and 1,043.05 is: 1,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.81 : 2,354.45 = 1,043.05 : x
  2. Step 2: Convert to fraction form
    1,705.81/2,354.45 = 1,043.05/x
  3. Step 3: Cross multiply
    1,705.81x = 2,354.45 × 1,043.05
  4. Step 4: Simplify right side
    1,705.81x = 2,455,809.07
  5. Step 5: Solve for x
    x = 2,455,809.07/1,705.81
  6. Step 6: Final answer
    x = 1,439.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.