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Finding the Fourth Proportional to 1,009.74, 1,504.46 and 943.50

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Solution

The fourth proportional to 1,009.74, 1,504.46 and 943.50 is: 1,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.74 : 1,504.46 = 943.50 : x
  2. Step 2: Convert to fraction form
    1,009.74/1,504.46 = 943.50/x
  3. Step 3: Cross multiply
    1,009.74x = 1,504.46 × 943.50
  4. Step 4: Simplify right side
    1,009.74x = 1,419,453.29
  5. Step 5: Solve for x
    x = 1,419,453.29/1,009.74
  6. Step 6: Final answer
    x = 1,405.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.