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Finding the Fourth Proportional to 692.82, 1,038.36 and 281.52

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Solution

The fourth proportional to 692.82, 1,038.36 and 281.52 is: 421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 1,038.36 = 281.52 : x
  2. Step 2: Convert to fraction form
    692.82/1,038.36 = 281.52/x
  3. Step 3: Cross multiply
    692.82x = 1,038.36 × 281.52
  4. Step 4: Simplify right side
    692.82x = 292,319.11
  5. Step 5: Solve for x
    x = 292,319.11/692.82
  6. Step 6: Final answer
    x = 421.93

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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.