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Finding the Fourth Proportional to 692.91, 1,039.82 and 260.06

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Solution

The fourth proportional to 692.91, 1,039.82 and 260.06 is: 390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.91 : 1,039.82 = 260.06 : x
  2. Step 2: Convert to fraction form
    692.91/1,039.82 = 260.06/x
  3. Step 3: Cross multiply
    692.91x = 1,039.82 × 260.06
  4. Step 4: Simplify right side
    692.91x = 270,416.89
  5. Step 5: Solve for x
    x = 270,416.89/692.91
  6. Step 6: Final answer
    x = 390.26

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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.