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Finding the Fourth Proportional to 692.34, 1,038.52 and 230.15

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Solution

The fourth proportional to 692.34, 1,038.52 and 230.15 is: 345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.34 : 1,038.52 = 230.15 : x
  2. Step 2: Convert to fraction form
    692.34/1,038.52 = 230.15/x
  3. Step 3: Cross multiply
    692.34x = 1,038.52 × 230.15
  4. Step 4: Simplify right side
    692.34x = 239,015.38
  5. Step 5: Solve for x
    x = 239,015.38/692.34
  6. Step 6: Final answer
    x = 345.23

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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.