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Finding the Fourth Proportional to 692.69, 1,036.65 and 429.04

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Solution

The fourth proportional to 692.69, 1,036.65 and 429.04 is: 642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.69 : 1,036.65 = 429.04 : x
  2. Step 2: Convert to fraction form
    692.69/1,036.65 = 429.04/x
  3. Step 3: Cross multiply
    692.69x = 1,036.65 × 429.04
  4. Step 4: Simplify right side
    692.69x = 444,761.72
  5. Step 5: Solve for x
    x = 444,761.72/692.69
  6. Step 6: Final answer
    x = 642.08

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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.