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Finding the Fourth Proportional to 692.12, 1,036.56 and 448.31

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Solution

The fourth proportional to 692.12, 1,036.56 and 448.31 is: 671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.12 : 1,036.56 = 448.31 : x
  2. Step 2: Convert to fraction form
    692.12/1,036.56 = 448.31/x
  3. Step 3: Cross multiply
    692.12x = 1,036.56 × 448.31
  4. Step 4: Simplify right side
    692.12x = 464,700.21
  5. Step 5: Solve for x
    x = 464,700.21/692.12
  6. Step 6: Final answer
    x = 671.42

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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.