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Finding the Fourth Proportional to 1,150.73, 1,588.94 and 938.08

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Solution

The fourth proportional to 1,150.73, 1,588.94 and 938.08 is: 1,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.73 : 1,588.94 = 938.08 : x
  2. Step 2: Convert to fraction form
    1,150.73/1,588.94 = 938.08/x
  3. Step 3: Cross multiply
    1,150.73x = 1,588.94 × 938.08
  4. Step 4: Simplify right side
    1,150.73x = 1,490,552.97
  5. Step 5: Solve for x
    x = 1,490,552.97/1,150.73
  6. Step 6: Final answer
    x = 1,295.31

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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.