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Finding the Fourth Proportional to 525.30, 782.01 and 522.58

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Solution

The fourth proportional to 525.30, 782.01 and 522.58 is: 777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.30 : 782.01 = 522.58 : x
  2. Step 2: Convert to fraction form
    525.30/782.01 = 522.58/x
  3. Step 3: Cross multiply
    525.30x = 782.01 × 522.58
  4. Step 4: Simplify right side
    525.30x = 408,662.79
  5. Step 5: Solve for x
    x = 408,662.79/525.30
  6. Step 6: Final answer
    x = 777.96

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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.