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Finding the Fourth Proportional to 504.23, 757.02 and 321.08

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Solution

The fourth proportional to 504.23, 757.02 and 321.08 is: 482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 757.02 = 321.08 : x
  2. Step 2: Convert to fraction form
    504.23/757.02 = 321.08/x
  3. Step 3: Cross multiply
    504.23x = 757.02 × 321.08
  4. Step 4: Simplify right side
    504.23x = 243,063.98
  5. Step 5: Solve for x
    x = 243,063.98/504.23
  6. Step 6: Final answer
    x = 482.05

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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.