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Finding the Fourth Proportional to 1,295.31, 1,785.71 and 923.22

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Solution

The fourth proportional to 1,295.31, 1,785.71 and 923.22 is: 1,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.31 : 1,785.71 = 923.22 : x
  2. Step 2: Convert to fraction form
    1,295.31/1,785.71 = 923.22/x
  3. Step 3: Cross multiply
    1,295.31x = 1,785.71 × 923.22
  4. Step 4: Simplify right side
    1,295.31x = 1,648,603.19
  5. Step 5: Solve for x
    x = 1,648,603.19/1,295.31
  6. Step 6: Final answer
    x = 1,272.75

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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.