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Finding the Fourth Proportional to 692.93, 1,039.07 and 368.21

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Solution

The fourth proportional to 692.93, 1,039.07 and 368.21 is: 552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 1,039.07 = 368.21 : x
  2. Step 2: Convert to fraction form
    692.93/1,039.07 = 368.21/x
  3. Step 3: Cross multiply
    692.93x = 1,039.07 × 368.21
  4. Step 4: Simplify right side
    692.93x = 382,588.93
  5. Step 5: Solve for x
    x = 382,588.93/692.93
  6. Step 6: Final answer
    x = 552.14

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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.