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Finding the Fourth Proportional to 1,004.83, 1,386.57 and 690.37

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Solution

The fourth proportional to 1,004.83, 1,386.57 and 690.37 is: 952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.83 : 1,386.57 = 690.37 : x
  2. Step 2: Convert to fraction form
    1,004.83/1,386.57 = 690.37/x
  3. Step 3: Cross multiply
    1,004.83x = 1,386.57 × 690.37
  4. Step 4: Simplify right side
    1,004.83x = 957,246.33
  5. Step 5: Solve for x
    x = 957,246.33/1,004.83
  6. Step 6: Final answer
    x = 952.65

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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.