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Finding the Fourth Proportional to 1,016.46, 1,410.39 and 975.33

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Solution

The fourth proportional to 1,016.46, 1,410.39 and 975.33 is: 1,353.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.46 : 1,410.39 = 975.33 : x
  2. Step 2: Convert to fraction form
    1,016.46/1,410.39 = 975.33/x
  3. Step 3: Cross multiply
    1,016.46x = 1,410.39 × 975.33
  4. Step 4: Simplify right side
    1,016.46x = 1,375,595.68
  5. Step 5: Solve for x
    x = 1,375,595.68/1,016.46
  6. Step 6: Final answer
    x = 1,353.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.