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Finding the Fourth Proportional to 504.29, 754.98 and 310.61

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Solution

The fourth proportional to 504.29, 754.98 and 310.61 is: 465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.29 : 754.98 = 310.61 : x
  2. Step 2: Convert to fraction form
    504.29/754.98 = 310.61/x
  3. Step 3: Cross multiply
    504.29x = 754.98 × 310.61
  4. Step 4: Simplify right side
    504.29x = 234,500.56
  5. Step 5: Solve for x
    x = 234,500.56/504.29
  6. Step 6: Final answer
    x = 465.02

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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.