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Finding the Fourth Proportional to 510.93, 764.46 and 313.33

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Solution

The fourth proportional to 510.93, 764.46 and 313.33 is: 468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.93 : 764.46 = 313.33 : x
  2. Step 2: Convert to fraction form
    510.93/764.46 = 313.33/x
  3. Step 3: Cross multiply
    510.93x = 764.46 × 313.33
  4. Step 4: Simplify right side
    510.93x = 239,528.25
  5. Step 5: Solve for x
    x = 239,528.25/510.93
  6. Step 6: Final answer
    x = 468.81

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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.