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Finding the Fourth Proportional to 519.21, 714.83 and 465.57

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Solution

The fourth proportional to 519.21, 714.83 and 465.57 is: 640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.21 : 714.83 = 465.57 : x
  2. Step 2: Convert to fraction form
    519.21/714.83 = 465.57/x
  3. Step 3: Cross multiply
    519.21x = 714.83 × 465.57
  4. Step 4: Simplify right side
    519.21x = 332,801.08
  5. Step 5: Solve for x
    x = 332,801.08/519.21
  6. Step 6: Final answer
    x = 640.98

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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.