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Finding the Fourth Proportional to 518.08, 713.50 and 429.94

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Solution

The fourth proportional to 518.08, 713.50 and 429.94 is: 592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.08 : 713.50 = 429.94 : x
  2. Step 2: Convert to fraction form
    518.08/713.50 = 429.94/x
  3. Step 3: Cross multiply
    518.08x = 713.50 × 429.94
  4. Step 4: Simplify right side
    518.08x = 306,759.33
  5. Step 5: Solve for x
    x = 306,759.33/518.08
  6. Step 6: Final answer
    x = 592.11

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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.