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Finding the Fourth Proportional to 692.92, 1,040.09 and 346.51

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Solution

The fourth proportional to 692.92, 1,040.09 and 346.51 is: 520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.92 : 1,040.09 = 346.51 : x
  2. Step 2: Convert to fraction form
    692.92/1,040.09 = 346.51/x
  3. Step 3: Cross multiply
    692.92x = 1,040.09 × 346.51
  4. Step 4: Simplify right side
    692.92x = 360,397.25
  5. Step 5: Solve for x
    x = 360,397.25/692.92
  6. Step 6: Final answer
    x = 520.11

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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.