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Finding the Fourth Proportional to 1,194.10, 1,647.75 and 697.06

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Solution

The fourth proportional to 1,194.10, 1,647.75 and 697.06 is: 961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.10 : 1,647.75 = 697.06 : x
  2. Step 2: Convert to fraction form
    1,194.10/1,647.75 = 697.06/x
  3. Step 3: Cross multiply
    1,194.10x = 1,647.75 × 697.06
  4. Step 4: Simplify right side
    1,194.10x = 1,148,580.62
  5. Step 5: Solve for x
    x = 1,148,580.62/1,194.10
  6. Step 6: Final answer
    x = 961.88

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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.