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Finding the Fourth Proportional to 518.84, 713.55 and 412.68

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Solution

The fourth proportional to 518.84, 713.55 and 412.68 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.84 : 713.55 = 412.68 : x
  2. Step 2: Convert to fraction form
    518.84/713.55 = 412.68/x
  3. Step 3: Cross multiply
    518.84x = 713.55 × 412.68
  4. Step 4: Simplify right side
    518.84x = 294,465.75
  5. Step 5: Solve for x
    x = 294,465.75/518.84
  6. Step 6: Final answer
    x = 567.55

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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.