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Finding the Fourth Proportional to 523.78, 782.37 and 521.35

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Solution

The fourth proportional to 523.78, 782.37 and 521.35 is: 778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.78 : 782.37 = 521.35 : x
  2. Step 2: Convert to fraction form
    523.78/782.37 = 521.35/x
  3. Step 3: Cross multiply
    523.78x = 782.37 × 521.35
  4. Step 4: Simplify right side
    523.78x = 407,888.60
  5. Step 5: Solve for x
    x = 407,888.60/523.78
  6. Step 6: Final answer
    x = 778.74

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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.