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Finding the Fourth Proportional to 503.95, 754.36 and 379.82

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Solution

The fourth proportional to 503.95, 754.36 and 379.82 is: 568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.95 : 754.36 = 379.82 : x
  2. Step 2: Convert to fraction form
    503.95/754.36 = 379.82/x
  3. Step 3: Cross multiply
    503.95x = 754.36 × 379.82
  4. Step 4: Simplify right side
    503.95x = 286,521.02
  5. Step 5: Solve for x
    x = 286,521.02/503.95
  6. Step 6: Final answer
    x = 568.55

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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.