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Finding the Fourth Proportional to 692.58, 955.80 and 427.08

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Solution

The fourth proportional to 692.58, 955.80 and 427.08 is: 589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.58 : 955.80 = 427.08 : x
  2. Step 2: Convert to fraction form
    692.58/955.80 = 427.08/x
  3. Step 3: Cross multiply
    692.58x = 955.80 × 427.08
  4. Step 4: Simplify right side
    692.58x = 408,203.06
  5. Step 5: Solve for x
    x = 408,203.06/692.58
  6. Step 6: Final answer
    x = 589.39

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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.