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Finding the Fourth Proportional to 1,073.86, 1,618.01 and 971.26

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Solution

The fourth proportional to 1,073.86, 1,618.01 and 971.26 is: 1,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.86 : 1,618.01 = 971.26 : x
  2. Step 2: Convert to fraction form
    1,073.86/1,618.01 = 971.26/x
  3. Step 3: Cross multiply
    1,073.86x = 1,618.01 × 971.26
  4. Step 4: Simplify right side
    1,073.86x = 1,571,508.39
  5. Step 5: Solve for x
    x = 1,571,508.39/1,073.86
  6. Step 6: Final answer
    x = 1,463.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.