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Finding the Fourth Proportional to 504.66, 755.67 and 388.83

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Solution

The fourth proportional to 504.66, 755.67 and 388.83 is: 582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.66 : 755.67 = 388.83 : x
  2. Step 2: Convert to fraction form
    504.66/755.67 = 388.83/x
  3. Step 3: Cross multiply
    504.66x = 755.67 × 388.83
  4. Step 4: Simplify right side
    504.66x = 293,827.17
  5. Step 5: Solve for x
    x = 293,827.17/504.66
  6. Step 6: Final answer
    x = 582.23

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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.