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Finding the Fourth Proportional to 1,991.84, 2,988.05 and 693

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Solution

The fourth proportional to 1,991.84, 2,988.05 and 693 is: 1,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.84 : 2,988.05 = 693 : x
  2. Step 2: Convert to fraction form
    1,991.84/2,988.05 = 693/x
  3. Step 3: Cross multiply
    1,991.84x = 2,988.05 × 693
  4. Step 4: Simplify right side
    1,991.84x = 2,070,715.19
  5. Step 5: Solve for x
    x = 2,070,715.19/1,991.84
  6. Step 6: Final answer
    x = 1,039.60

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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.