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Finding the Fourth Proportional to 1,447.69, 1,998.08 and 975.58

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Solution

The fourth proportional to 1,447.69, 1,998.08 and 975.58 is: 1,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.69 : 1,998.08 = 975.58 : x
  2. Step 2: Convert to fraction form
    1,447.69/1,998.08 = 975.58/x
  3. Step 3: Cross multiply
    1,447.69x = 1,998.08 × 975.58
  4. Step 4: Simplify right side
    1,447.69x = 1,949,286.89
  5. Step 5: Solve for x
    x = 1,949,286.89/1,447.69
  6. Step 6: Final answer
    x = 1,346.48

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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.