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Finding the Fourth Proportional to 1,235.71, 1,705.58 and 712.05

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Solution

The fourth proportional to 1,235.71, 1,705.58 and 712.05 is: 982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.71 : 1,705.58 = 712.05 : x
  2. Step 2: Convert to fraction form
    1,235.71/1,705.58 = 712.05/x
  3. Step 3: Cross multiply
    1,235.71x = 1,705.58 × 712.05
  4. Step 4: Simplify right side
    1,235.71x = 1,214,458.24
  5. Step 5: Solve for x
    x = 1,214,458.24/1,235.71
  6. Step 6: Final answer
    x = 982.80

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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.