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Finding the Fourth Proportional to 525.98, 720.59 and 506.27

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Solution

The fourth proportional to 525.98, 720.59 and 506.27 is: 693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.98 : 720.59 = 506.27 : x
  2. Step 2: Convert to fraction form
    525.98/720.59 = 506.27/x
  3. Step 3: Cross multiply
    525.98x = 720.59 × 506.27
  4. Step 4: Simplify right side
    525.98x = 364,811.57
  5. Step 5: Solve for x
    x = 364,811.57/525.98
  6. Step 6: Final answer
    x = 693.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.