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Finding the Fourth Proportional to 1,513.05, 2,265.99 and 853.32

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Solution

The fourth proportional to 1,513.05, 2,265.99 and 853.32 is: 1,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.05 : 2,265.99 = 853.32 : x
  2. Step 2: Convert to fraction form
    1,513.05/2,265.99 = 853.32/x
  3. Step 3: Cross multiply
    1,513.05x = 2,265.99 × 853.32
  4. Step 4: Simplify right side
    1,513.05x = 1,933,614.59
  5. Step 5: Solve for x
    x = 1,933,614.59/1,513.05
  6. Step 6: Final answer
    x = 1,277.96

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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.