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Finding the Fourth Proportional to 1,237.56, 1,707.35 and 713.49

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Solution

The fourth proportional to 1,237.56, 1,707.35 and 713.49 is: 984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.56 : 1,707.35 = 713.49 : x
  2. Step 2: Convert to fraction form
    1,237.56/1,707.35 = 713.49/x
  3. Step 3: Cross multiply
    1,237.56x = 1,707.35 × 713.49
  4. Step 4: Simplify right side
    1,237.56x = 1,218,173.58
  5. Step 5: Solve for x
    x = 1,218,173.58/1,237.56
  6. Step 6: Final answer
    x = 984.33

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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.