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Finding the Fourth Proportional to 692.69, 1,039.30 and 260.15

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Solution

The fourth proportional to 692.69, 1,039.30 and 260.15 is: 390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.69 : 1,039.30 = 260.15 : x
  2. Step 2: Convert to fraction form
    692.69/1,039.30 = 260.15/x
  3. Step 3: Cross multiply
    692.69x = 1,039.30 × 260.15
  4. Step 4: Simplify right side
    692.69x = 270,368.05
  5. Step 5: Solve for x
    x = 270,368.05/692.69
  6. Step 6: Final answer
    x = 390.32

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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.