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Finding the Fourth Proportional to 504.92, 755.62 and 309.83

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Solution

The fourth proportional to 504.92, 755.62 and 309.83 is: 463.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 755.62 = 309.83 : x
  2. Step 2: Convert to fraction form
    504.92/755.62 = 309.83/x
  3. Step 3: Cross multiply
    504.92x = 755.62 × 309.83
  4. Step 4: Simplify right side
    504.92x = 234,113.74
  5. Step 5: Solve for x
    x = 234,113.74/504.92
  6. Step 6: Final answer
    x = 463.67

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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.