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Finding the Fourth Proportional to 524.06, 781.45 and 519.36

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Solution

The fourth proportional to 524.06, 781.45 and 519.36 is: 774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 781.45 = 519.36 : x
  2. Step 2: Convert to fraction form
    524.06/781.45 = 519.36/x
  3. Step 3: Cross multiply
    524.06x = 781.45 × 519.36
  4. Step 4: Simplify right side
    524.06x = 405,853.87
  5. Step 5: Solve for x
    x = 405,853.87/524.06
  6. Step 6: Final answer
    x = 774.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.