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Finding the Fourth Proportional to 692.09, 1,032.96 and 580.31

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Solution

The fourth proportional to 692.09, 1,032.96 and 580.31 is: 866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.09 : 1,032.96 = 580.31 : x
  2. Step 2: Convert to fraction form
    692.09/1,032.96 = 580.31/x
  3. Step 3: Cross multiply
    692.09x = 1,032.96 × 580.31
  4. Step 4: Simplify right side
    692.09x = 599,431.85
  5. Step 5: Solve for x
    x = 599,431.85/692.09
  6. Step 6: Final answer
    x = 866.12

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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.