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Finding the Fourth Proportional to 573.78, 864.21 and 523.84

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Solution

The fourth proportional to 573.78, 864.21 and 523.84 is: 788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.78 : 864.21 = 523.84 : x
  2. Step 2: Convert to fraction form
    573.78/864.21 = 523.84/x
  3. Step 3: Cross multiply
    573.78x = 864.21 × 523.84
  4. Step 4: Simplify right side
    573.78x = 452,707.77
  5. Step 5: Solve for x
    x = 452,707.77/573.78
  6. Step 6: Final answer
    x = 788.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.