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Finding the Fourth Proportional to 1,235.69, 1,705.29 and 676.19

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Solution

The fourth proportional to 1,235.69, 1,705.29 and 676.19 is: 933.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.69 : 1,705.29 = 676.19 : x
  2. Step 2: Convert to fraction form
    1,235.69/1,705.29 = 676.19/x
  3. Step 3: Cross multiply
    1,235.69x = 1,705.29 × 676.19
  4. Step 4: Simplify right side
    1,235.69x = 1,153,100.05
  5. Step 5: Solve for x
    x = 1,153,100.05/1,235.69
  6. Step 6: Final answer
    x = 933.16

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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.