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Finding the Fourth Proportional to 692.25, 1,038.74 and 259.53

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Solution

The fourth proportional to 692.25, 1,038.74 and 259.53 is: 389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 1,038.74 = 259.53 : x
  2. Step 2: Convert to fraction form
    692.25/1,038.74 = 259.53/x
  3. Step 3: Cross multiply
    692.25x = 1,038.74 × 259.53
  4. Step 4: Simplify right side
    692.25x = 269,582.89
  5. Step 5: Solve for x
    x = 269,582.89/692.25
  6. Step 6: Final answer
    x = 389.43

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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.