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Finding the Fourth Proportional to 510.75, 705.00 and 326.75

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Solution

The fourth proportional to 510.75, 705.00 and 326.75 is: 451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 705.00 = 326.75 : x
  2. Step 2: Convert to fraction form
    510.75/705.00 = 326.75/x
  3. Step 3: Cross multiply
    510.75x = 705.00 × 326.75
  4. Step 4: Simplify right side
    510.75x = 230,357.12
  5. Step 5: Solve for x
    x = 230,357.12/510.75
  6. Step 6: Final answer
    x = 451.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.