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Finding the Fourth Proportional to 692.92, 1,039.76 and 384.95

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Solution

The fourth proportional to 692.92, 1,039.76 and 384.95 is: 577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.92 : 1,039.76 = 384.95 : x
  2. Step 2: Convert to fraction form
    692.92/1,039.76 = 384.95/x
  3. Step 3: Cross multiply
    692.92x = 1,039.76 × 384.95
  4. Step 4: Simplify right side
    692.92x = 400,253.45
  5. Step 5: Solve for x
    x = 400,253.45/692.92
  6. Step 6: Final answer
    x = 577.63

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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.