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Finding the Fourth Proportional to 692.68, 1,038.30 and 384.52

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Solution

The fourth proportional to 692.68, 1,038.30 and 384.52 is: 576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.68 : 1,038.30 = 384.52 : x
  2. Step 2: Convert to fraction form
    692.68/1,038.30 = 384.52/x
  3. Step 3: Cross multiply
    692.68x = 1,038.30 × 384.52
  4. Step 4: Simplify right side
    692.68x = 399,247.12
  5. Step 5: Solve for x
    x = 399,247.12/692.68
  6. Step 6: Final answer
    x = 576.38

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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.