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Finding the Fourth Proportional to 1,141.80, 1,576.92 and 788.23

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Solution

The fourth proportional to 1,141.80, 1,576.92 and 788.23 is: 1,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.80 : 1,576.92 = 788.23 : x
  2. Step 2: Convert to fraction form
    1,141.80/1,576.92 = 788.23/x
  3. Step 3: Cross multiply
    1,141.80x = 1,576.92 × 788.23
  4. Step 4: Simplify right side
    1,141.80x = 1,242,976.14
  5. Step 5: Solve for x
    x = 1,242,976.14/1,141.80
  6. Step 6: Final answer
    x = 1,088.61

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1.5x scale

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.