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Finding the Fourth Proportional to 1,435.23, 1,979.82 and 845.69

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Solution

The fourth proportional to 1,435.23, 1,979.82 and 845.69 is: 1,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.23 : 1,979.82 = 845.69 : x
  2. Step 2: Convert to fraction form
    1,435.23/1,979.82 = 845.69/x
  3. Step 3: Cross multiply
    1,435.23x = 1,979.82 × 845.69
  4. Step 4: Simplify right side
    1,435.23x = 1,674,304.08
  5. Step 5: Solve for x
    x = 1,674,304.08/1,435.23
  6. Step 6: Final answer
    x = 1,166.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.