Home / 692.24-1,038.20-281.20

Finding the Fourth Proportional to 692.24, 1,038.20 and 281.20

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Solution

The fourth proportional to 692.24, 1,038.20 and 281.20 is: 421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.24 : 1,038.20 = 281.20 : x
  2. Step 2: Convert to fraction form
    692.24/1,038.20 = 281.20/x
  3. Step 3: Cross multiply
    692.24x = 1,038.20 × 281.20
  4. Step 4: Simplify right side
    692.24x = 291,941.84
  5. Step 5: Solve for x
    x = 291,941.84/692.24
  6. Step 6: Final answer
    x = 421.74

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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.