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Finding the Fourth Proportional to 519.15, 714.78 and 440.30

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Solution

The fourth proportional to 519.15, 714.78 and 440.30 is: 606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.15 : 714.78 = 440.30 : x
  2. Step 2: Convert to fraction form
    519.15/714.78 = 440.30/x
  3. Step 3: Cross multiply
    519.15x = 714.78 × 440.30
  4. Step 4: Simplify right side
    519.15x = 314,714.06
  5. Step 5: Solve for x
    x = 314,714.06/519.15
  6. Step 6: Final answer
    x = 606.21

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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.