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Finding the Fourth Proportional to 1,371.36, 1,890.99 and 899.10

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Solution

The fourth proportional to 1,371.36, 1,890.99 and 899.10 is: 1,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.36 : 1,890.99 = 899.10 : x
  2. Step 2: Convert to fraction form
    1,371.36/1,890.99 = 899.10/x
  3. Step 3: Cross multiply
    1,371.36x = 1,890.99 × 899.10
  4. Step 4: Simplify right side
    1,371.36x = 1,700,189.11
  5. Step 5: Solve for x
    x = 1,700,189.11/1,371.36
  6. Step 6: Final answer
    x = 1,239.78

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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.