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Finding the Fourth Proportional to 525.60, 726.90 and 459.99

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Solution

The fourth proportional to 525.60, 726.90 and 459.99 is: 636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 726.90 = 459.99 : x
  2. Step 2: Convert to fraction form
    525.60/726.90 = 459.99/x
  3. Step 3: Cross multiply
    525.60x = 726.90 × 459.99
  4. Step 4: Simplify right side
    525.60x = 334,366.73
  5. Step 5: Solve for x
    x = 334,366.73/525.60
  6. Step 6: Final answer
    x = 636.16

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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.