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Finding the Fourth Proportional to 1,971.98, 2,958.12 and 655.68

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Solution

The fourth proportional to 1,971.98, 2,958.12 and 655.68 is: 983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.98 : 2,958.12 = 655.68 : x
  2. Step 2: Convert to fraction form
    1,971.98/2,958.12 = 655.68/x
  3. Step 3: Cross multiply
    1,971.98x = 2,958.12 × 655.68
  4. Step 4: Simplify right side
    1,971.98x = 1,939,580.12
  5. Step 5: Solve for x
    x = 1,939,580.12/1,971.98
  6. Step 6: Final answer
    x = 983.57

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1.5x scale

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.