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Finding the Fourth Proportional to 692.63, 1,039.54 and 302.95

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Solution

The fourth proportional to 692.63, 1,039.54 and 302.95 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.63 : 1,039.54 = 302.95 : x
  2. Step 2: Convert to fraction form
    692.63/1,039.54 = 302.95/x
  3. Step 3: Cross multiply
    692.63x = 1,039.54 × 302.95
  4. Step 4: Simplify right side
    692.63x = 314,926.83
  5. Step 5: Solve for x
    x = 314,926.83/692.63
  6. Step 6: Final answer
    x = 454.68

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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.