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Finding the Fourth Proportional to 510.61, 764.90 and 336.75

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Solution

The fourth proportional to 510.61, 764.90 and 336.75 is: 504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.61 : 764.90 = 336.75 : x
  2. Step 2: Convert to fraction form
    510.61/764.90 = 336.75/x
  3. Step 3: Cross multiply
    510.61x = 764.90 × 336.75
  4. Step 4: Simplify right side
    510.61x = 257,580.08
  5. Step 5: Solve for x
    x = 257,580.08/510.61
  6. Step 6: Final answer
    x = 504.46

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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.