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Finding the Fourth Proportional to 1,235.72, 1,705.44 and 711.80

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Solution

The fourth proportional to 1,235.72, 1,705.44 and 711.80 is: 982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.72 : 1,705.44 = 711.80 : x
  2. Step 2: Convert to fraction form
    1,235.72/1,705.44 = 711.80/x
  3. Step 3: Cross multiply
    1,235.72x = 1,705.44 × 711.80
  4. Step 4: Simplify right side
    1,235.72x = 1,213,932.19
  5. Step 5: Solve for x
    x = 1,213,932.19/1,235.72
  6. Step 6: Final answer
    x = 982.37

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Half scale
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Double scale
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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.