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Finding the Fourth Proportional to 518.39, 716.06 and 385.91

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Solution

The fourth proportional to 518.39, 716.06 and 385.91 is: 533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.39 : 716.06 = 385.91 : x
  2. Step 2: Convert to fraction form
    518.39/716.06 = 385.91/x
  3. Step 3: Cross multiply
    518.39x = 716.06 × 385.91
  4. Step 4: Simplify right side
    518.39x = 276,334.71
  5. Step 5: Solve for x
    x = 276,334.71/518.39
  6. Step 6: Final answer
    x = 533.06

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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.