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Finding the Fourth Proportional to 692.86, 1,039.29 and 675.43

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Solution

The fourth proportional to 692.86, 1,039.29 and 675.43 is: 1,013.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.86 : 1,039.29 = 675.43 : x
  2. Step 2: Convert to fraction form
    692.86/1,039.29 = 675.43/x
  3. Step 3: Cross multiply
    692.86x = 1,039.29 × 675.43
  4. Step 4: Simplify right side
    692.86x = 701,972.16
  5. Step 5: Solve for x
    x = 701,972.16/692.86
  6. Step 6: Final answer
    x = 1,013.15

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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.