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Finding the Fourth Proportional to 1,600.74, 2,208.51 and 971.64

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Solution

The fourth proportional to 1,600.74, 2,208.51 and 971.64 is: 1,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.74 : 2,208.51 = 971.64 : x
  2. Step 2: Convert to fraction form
    1,600.74/2,208.51 = 971.64/x
  3. Step 3: Cross multiply
    1,600.74x = 2,208.51 × 971.64
  4. Step 4: Simplify right side
    1,600.74x = 2,145,876.66
  5. Step 5: Solve for x
    x = 2,145,876.66/1,600.74
  6. Step 6: Final answer
    x = 1,340.55

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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.