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Finding the Fourth Proportional to 518.45, 714.56 and 420.03

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Solution

The fourth proportional to 518.45, 714.56 and 420.03 is: 578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.45 : 714.56 = 420.03 : x
  2. Step 2: Convert to fraction form
    518.45/714.56 = 420.03/x
  3. Step 3: Cross multiply
    518.45x = 714.56 × 420.03
  4. Step 4: Simplify right side
    518.45x = 300,134.54
  5. Step 5: Solve for x
    x = 300,134.54/518.45
  6. Step 6: Final answer
    x = 578.91

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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.