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Finding the Fourth Proportional to 1,971.54, 2,956.55 and 655.25

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Solution

The fourth proportional to 1,971.54, 2,956.55 and 655.25 is: 982.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.54 : 2,956.55 = 655.25 : x
  2. Step 2: Convert to fraction form
    1,971.54/2,956.55 = 655.25/x
  3. Step 3: Cross multiply
    1,971.54x = 2,956.55 × 655.25
  4. Step 4: Simplify right side
    1,971.54x = 1,937,261.33
  5. Step 5: Solve for x
    x = 1,937,261.33/1,971.54
  6. Step 6: Final answer
    x = 982.61

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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.