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Finding the Fourth Proportional to 518.69, 713.34 and 412.53

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Solution

The fourth proportional to 518.69, 713.34 and 412.53 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.69 : 713.34 = 412.53 : x
  2. Step 2: Convert to fraction form
    518.69/713.34 = 412.53/x
  3. Step 3: Cross multiply
    518.69x = 713.34 × 412.53
  4. Step 4: Simplify right side
    518.69x = 294,274.54
  5. Step 5: Solve for x
    x = 294,274.54/518.69
  6. Step 6: Final answer
    x = 567.34

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1.5x scale

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.