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Finding the Fourth Proportional to 692.67, 1,039.06 and 282.00

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Solution

The fourth proportional to 692.67, 1,039.06 and 282.00 is: 423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.67 : 1,039.06 = 282.00 : x
  2. Step 2: Convert to fraction form
    692.67/1,039.06 = 282.00/x
  3. Step 3: Cross multiply
    692.67x = 1,039.06 × 282.00
  4. Step 4: Simplify right side
    692.67x = 293,019.17
  5. Step 5: Solve for x
    x = 293,019.17/692.67
  6. Step 6: Final answer
    x = 423.03

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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.