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Finding the Fourth Proportional to 692.42, 1,038.74 and 345.77

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Solution

The fourth proportional to 692.42, 1,038.74 and 345.77 is: 518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.42 : 1,038.74 = 345.77 : x
  2. Step 2: Convert to fraction form
    692.42/1,038.74 = 345.77/x
  3. Step 3: Cross multiply
    692.42x = 1,038.74 × 345.77
  4. Step 4: Simplify right side
    692.42x = 359,160.80
  5. Step 5: Solve for x
    x = 359,160.80/692.42
  6. Step 6: Final answer
    x = 518.71

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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.