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Finding the Fourth Proportional to 460.61, 692.30 and 379.98

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Solution

The fourth proportional to 460.61, 692.30 and 379.98 is: 571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.61 : 692.30 = 379.98 : x
  2. Step 2: Convert to fraction form
    460.61/692.30 = 379.98/x
  3. Step 3: Cross multiply
    460.61x = 692.30 × 379.98
  4. Step 4: Simplify right side
    460.61x = 263,060.15
  5. Step 5: Solve for x
    x = 263,060.15/460.61
  6. Step 6: Final answer
    x = 571.11

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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.