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Finding the Fourth Proportional to 981.96, 1,362.44 and 973.56

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Solution

The fourth proportional to 981.96, 1,362.44 and 973.56 is: 1,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.96 : 1,362.44 = 973.56 : x
  2. Step 2: Convert to fraction form
    981.96/1,362.44 = 973.56/x
  3. Step 3: Cross multiply
    981.96x = 1,362.44 × 973.56
  4. Step 4: Simplify right side
    981.96x = 1,326,417.09
  5. Step 5: Solve for x
    x = 1,326,417.09/981.96
  6. Step 6: Final answer
    x = 1,350.79

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1.5x scale

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.