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Finding the Fourth Proportional to 518.78, 716.08 and 477.46

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Solution

The fourth proportional to 518.78, 716.08 and 477.46 is: 659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.78 : 716.08 = 477.46 : x
  2. Step 2: Convert to fraction form
    518.78/716.08 = 477.46/x
  3. Step 3: Cross multiply
    518.78x = 716.08 × 477.46
  4. Step 4: Simplify right side
    518.78x = 341,899.56
  5. Step 5: Solve for x
    x = 341,899.56/518.78
  6. Step 6: Final answer
    x = 659.05

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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.