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Finding the Fourth Proportional to 1,261.70, 1,739.92 and 842.06

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Solution

The fourth proportional to 1,261.70, 1,739.92 and 842.06 is: 1,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.70 : 1,739.92 = 842.06 : x
  2. Step 2: Convert to fraction form
    1,261.70/1,739.92 = 842.06/x
  3. Step 3: Cross multiply
    1,261.70x = 1,739.92 × 842.06
  4. Step 4: Simplify right side
    1,261.70x = 1,465,117.04
  5. Step 5: Solve for x
    x = 1,465,117.04/1,261.70
  6. Step 6: Final answer
    x = 1,161.22

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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.