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Finding the Fourth Proportional to 518.70, 715.46 and 408

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Solution

The fourth proportional to 518.70, 715.46 and 408 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.70 : 715.46 = 408 : x
  2. Step 2: Convert to fraction form
    518.70/715.46 = 408/x
  3. Step 3: Cross multiply
    518.70x = 715.46 × 408
  4. Step 4: Simplify right side
    518.70x = 291,905.64
  5. Step 5: Solve for x
    x = 291,905.64/518.70
  6. Step 6: Final answer
    x = 562.76

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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.