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Finding the Fourth Proportional to 506.29, 757.98 and 312.61

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Solution

The fourth proportional to 506.29, 757.98 and 312.61 is: 468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.29 : 757.98 = 312.61 : x
  2. Step 2: Convert to fraction form
    506.29/757.98 = 312.61/x
  3. Step 3: Cross multiply
    506.29x = 757.98 × 312.61
  4. Step 4: Simplify right side
    506.29x = 236,952.13
  5. Step 5: Solve for x
    x = 236,952.13/506.29
  6. Step 6: Final answer
    x = 468.02

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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.