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Finding the Fourth Proportional to 504.93, 755.78 and 396.93

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Solution

The fourth proportional to 504.93, 755.78 and 396.93 is: 594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.93 : 755.78 = 396.93 : x
  2. Step 2: Convert to fraction form
    504.93/755.78 = 396.93/x
  3. Step 3: Cross multiply
    504.93x = 755.78 × 396.93
  4. Step 4: Simplify right side
    504.93x = 299,989.77
  5. Step 5: Solve for x
    x = 299,989.77/504.93
  6. Step 6: Final answer
    x = 594.12

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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.