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Finding the Fourth Proportional to 692.70, 1,038.98 and 206.06

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Solution

The fourth proportional to 692.70, 1,038.98 and 206.06 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 1,038.98 = 206.06 : x
  2. Step 2: Convert to fraction form
    692.70/1,038.98 = 206.06/x
  3. Step 3: Cross multiply
    692.70x = 1,038.98 × 206.06
  4. Step 4: Simplify right side
    692.70x = 214,092.22
  5. Step 5: Solve for x
    x = 214,092.22/692.70
  6. Step 6: Final answer
    x = 309.07

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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.