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Finding the Fourth Proportional to 692.18, 1,038.23 and 172.18

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Solution

The fourth proportional to 692.18, 1,038.23 and 172.18 is: 258.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.18 : 1,038.23 = 172.18 : x
  2. Step 2: Convert to fraction form
    692.18/1,038.23 = 172.18/x
  3. Step 3: Cross multiply
    692.18x = 1,038.23 × 172.18
  4. Step 4: Simplify right side
    692.18x = 178,758.65
  5. Step 5: Solve for x
    x = 178,758.65/692.18
  6. Step 6: Final answer
    x = 258.26

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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.