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Finding the Fourth Proportional to 519.40, 715.44 and 425.80

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Solution

The fourth proportional to 519.40, 715.44 and 425.80 is: 586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.40 : 715.44 = 425.80 : x
  2. Step 2: Convert to fraction form
    519.40/715.44 = 425.80/x
  3. Step 3: Cross multiply
    519.40x = 715.44 × 425.80
  4. Step 4: Simplify right side
    519.40x = 304,634.35
  5. Step 5: Solve for x
    x = 304,634.35/519.40
  6. Step 6: Final answer
    x = 586.51

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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.