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Finding the Fourth Proportional to 525.56, 782.12 and 506.12

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Solution

The fourth proportional to 525.56, 782.12 and 506.12 is: 753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.56 : 782.12 = 506.12 : x
  2. Step 2: Convert to fraction form
    525.56/782.12 = 506.12/x
  3. Step 3: Cross multiply
    525.56x = 782.12 × 506.12
  4. Step 4: Simplify right side
    525.56x = 395,846.57
  5. Step 5: Solve for x
    x = 395,846.57/525.56
  6. Step 6: Final answer
    x = 753.19

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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.