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Finding the Fourth Proportional to 1,071.44, 1,604.64 and 899.21

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Solution

The fourth proportional to 1,071.44, 1,604.64 and 899.21 is: 1,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.44 : 1,604.64 = 899.21 : x
  2. Step 2: Convert to fraction form
    1,071.44/1,604.64 = 899.21/x
  3. Step 3: Cross multiply
    1,071.44x = 1,604.64 × 899.21
  4. Step 4: Simplify right side
    1,071.44x = 1,442,903.84
  5. Step 5: Solve for x
    x = 1,442,903.84/1,071.44
  6. Step 6: Final answer
    x = 1,346.70

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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.