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Finding the Fourth Proportional to 518.76, 715.32 and 406.80

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Solution

The fourth proportional to 518.76, 715.32 and 406.80 is: 560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.76 : 715.32 = 406.80 : x
  2. Step 2: Convert to fraction form
    518.76/715.32 = 406.80/x
  3. Step 3: Cross multiply
    518.76x = 715.32 × 406.80
  4. Step 4: Simplify right side
    518.76x = 290,992.18
  5. Step 5: Solve for x
    x = 290,992.18/518.76
  6. Step 6: Final answer
    x = 560.94

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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.