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Finding the Fourth Proportional to 1,191.88, 1,645.56 and 971.36

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Solution

The fourth proportional to 1,191.88, 1,645.56 and 971.36 is: 1,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.88 : 1,645.56 = 971.36 : x
  2. Step 2: Convert to fraction form
    1,191.88/1,645.56 = 971.36/x
  3. Step 3: Cross multiply
    1,191.88x = 1,645.56 × 971.36
  4. Step 4: Simplify right side
    1,191.88x = 1,598,422.93
  5. Step 5: Solve for x
    x = 1,598,422.93/1,191.88
  6. Step 6: Final answer
    x = 1,341.09

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1.5x scale

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.