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Finding the Fourth Proportional to 519.44, 714.99 and 470.23

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Solution

The fourth proportional to 519.44, 714.99 and 470.23 is: 647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.44 : 714.99 = 470.23 : x
  2. Step 2: Convert to fraction form
    519.44/714.99 = 470.23/x
  3. Step 3: Cross multiply
    519.44x = 714.99 × 470.23
  4. Step 4: Simplify right side
    519.44x = 336,209.72
  5. Step 5: Solve for x
    x = 336,209.72/519.44
  6. Step 6: Final answer
    x = 647.26

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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.