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Finding the Fourth Proportional to 523.84, 780.06 and 518.08

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Solution

The fourth proportional to 523.84, 780.06 and 518.08 is: 771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 780.06 = 518.08 : x
  2. Step 2: Convert to fraction form
    523.84/780.06 = 518.08/x
  3. Step 3: Cross multiply
    523.84x = 780.06 × 518.08
  4. Step 4: Simplify right side
    523.84x = 404,133.49
  5. Step 5: Solve for x
    x = 404,133.49/523.84
  6. Step 6: Final answer
    x = 771.49

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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.