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Finding the Fourth Proportional to 692.55, 1,038.51 and 259.80

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Solution

The fourth proportional to 692.55, 1,038.51 and 259.80 is: 389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.55 : 1,038.51 = 259.80 : x
  2. Step 2: Convert to fraction form
    692.55/1,038.51 = 259.80/x
  3. Step 3: Cross multiply
    692.55x = 1,038.51 × 259.80
  4. Step 4: Simplify right side
    692.55x = 269,804.90
  5. Step 5: Solve for x
    x = 269,804.90/692.55
  6. Step 6: Final answer
    x = 389.58

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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.