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Finding the Fourth Proportional to 692.70, 1,038.33 and 364.02

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Solution

The fourth proportional to 692.70, 1,038.33 and 364.02 is: 545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 1,038.33 = 364.02 : x
  2. Step 2: Convert to fraction form
    692.70/1,038.33 = 364.02/x
  3. Step 3: Cross multiply
    692.70x = 1,038.33 × 364.02
  4. Step 4: Simplify right side
    692.70x = 377,972.89
  5. Step 5: Solve for x
    x = 377,972.89/692.70
  6. Step 6: Final answer
    x = 545.65

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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.