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Finding the Fourth Proportional to 518.46, 714.30 and 425.22

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Solution

The fourth proportional to 518.46, 714.30 and 425.22 is: 585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.46 : 714.30 = 425.22 : x
  2. Step 2: Convert to fraction form
    518.46/714.30 = 425.22/x
  3. Step 3: Cross multiply
    518.46x = 714.30 × 425.22
  4. Step 4: Simplify right side
    518.46x = 303,734.65
  5. Step 5: Solve for x
    x = 303,734.65/518.46
  6. Step 6: Final answer
    x = 585.84

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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.