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Finding the Fourth Proportional to 525.92, 726.48 and 415.52

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Solution

The fourth proportional to 525.92, 726.48 and 415.52 is: 573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.92 : 726.48 = 415.52 : x
  2. Step 2: Convert to fraction form
    525.92/726.48 = 415.52/x
  3. Step 3: Cross multiply
    525.92x = 726.48 × 415.52
  4. Step 4: Simplify right side
    525.92x = 301,866.97
  5. Step 5: Solve for x
    x = 301,866.97/525.92
  6. Step 6: Final answer
    x = 573.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.