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Finding the Fourth Proportional to 1,435.06, 1,980.14 and 845.71

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Solution

The fourth proportional to 1,435.06, 1,980.14 and 845.71 is: 1,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.06 : 1,980.14 = 845.71 : x
  2. Step 2: Convert to fraction form
    1,435.06/1,980.14 = 845.71/x
  3. Step 3: Cross multiply
    1,435.06x = 1,980.14 × 845.71
  4. Step 4: Simplify right side
    1,435.06x = 1,674,622.09
  5. Step 5: Solve for x
    x = 1,674,622.09/1,435.06
  6. Step 6: Final answer
    x = 1,166.94

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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.