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Finding the Fourth Proportional to 525.89, 726.06 and 339.66

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Solution

The fourth proportional to 525.89, 726.06 and 339.66 is: 468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.89 : 726.06 = 339.66 : x
  2. Step 2: Convert to fraction form
    525.89/726.06 = 339.66/x
  3. Step 3: Cross multiply
    525.89x = 726.06 × 339.66
  4. Step 4: Simplify right side
    525.89x = 246,613.54
  5. Step 5: Solve for x
    x = 246,613.54/525.89
  6. Step 6: Final answer
    x = 468.95

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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.