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Finding the Fourth Proportional to 692.46, 955.47 and 412.59

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Solution

The fourth proportional to 692.46, 955.47 and 412.59 is: 569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 955.47 = 412.59 : x
  2. Step 2: Convert to fraction form
    692.46/955.47 = 412.59/x
  3. Step 3: Cross multiply
    692.46x = 955.47 × 412.59
  4. Step 4: Simplify right side
    692.46x = 394,217.37
  5. Step 5: Solve for x
    x = 394,217.37/692.46
  6. Step 6: Final answer
    x = 569.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.