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Finding the Fourth Proportional to 692.25, 1,036.19 and 417.45

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Solution

The fourth proportional to 692.25, 1,036.19 and 417.45 is: 624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 1,036.19 = 417.45 : x
  2. Step 2: Convert to fraction form
    692.25/1,036.19 = 417.45/x
  3. Step 3: Cross multiply
    692.25x = 1,036.19 × 417.45
  4. Step 4: Simplify right side
    692.25x = 432,562.44
  5. Step 5: Solve for x
    x = 432,562.44/692.25
  6. Step 6: Final answer
    x = 624.87

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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.