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Finding the Fourth Proportional to 504.07, 755.85 and 230.35

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Solution

The fourth proportional to 504.07, 755.85 and 230.35 is: 345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.07 : 755.85 = 230.35 : x
  2. Step 2: Convert to fraction form
    504.07/755.85 = 230.35/x
  3. Step 3: Cross multiply
    504.07x = 755.85 × 230.35
  4. Step 4: Simplify right side
    504.07x = 174,110.13
  5. Step 5: Solve for x
    x = 174,110.13/504.07
  6. Step 6: Final answer
    x = 345.41

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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.