Home / 1,006.37-1,387.61-931.73

Finding the Fourth Proportional to 1,006.37, 1,387.61 and 931.73

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Solution

The fourth proportional to 1,006.37, 1,387.61 and 931.73 is: 1,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.37 : 1,387.61 = 931.73 : x
  2. Step 2: Convert to fraction form
    1,006.37/1,387.61 = 931.73/x
  3. Step 3: Cross multiply
    1,006.37x = 1,387.61 × 931.73
  4. Step 4: Simplify right side
    1,006.37x = 1,292,873.21
  5. Step 5: Solve for x
    x = 1,292,873.21/1,006.37
  6. Step 6: Final answer
    x = 1,284.69

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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.