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Finding the Fourth Proportional to 692.50, 1,038.51 and 259.42

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Solution

The fourth proportional to 692.50, 1,038.51 and 259.42 is: 389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.50 : 1,038.51 = 259.42 : x
  2. Step 2: Convert to fraction form
    692.50/1,038.51 = 259.42/x
  3. Step 3: Cross multiply
    692.50x = 1,038.51 × 259.42
  4. Step 4: Simplify right side
    692.50x = 269,410.26
  5. Step 5: Solve for x
    x = 269,410.26/692.50
  6. Step 6: Final answer
    x = 389.04

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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.