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Finding the Fourth Proportional to 1,087.69, 1,628.80 and 943.49

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Solution

The fourth proportional to 1,087.69, 1,628.80 and 943.49 is: 1,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.69 : 1,628.80 = 943.49 : x
  2. Step 2: Convert to fraction form
    1,087.69/1,628.80 = 943.49/x
  3. Step 3: Cross multiply
    1,087.69x = 1,628.80 × 943.49
  4. Step 4: Simplify right side
    1,087.69x = 1,536,756.51
  5. Step 5: Solve for x
    x = 1,536,756.51/1,087.69
  6. Step 6: Final answer
    x = 1,412.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.