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Finding the Fourth Proportional to 525.60, 725.76 and 455.94

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Solution

The fourth proportional to 525.60, 725.76 and 455.94 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.60 : 725.76 = 455.94 : x
  2. Step 2: Convert to fraction form
    525.60/725.76 = 455.94/x
  3. Step 3: Cross multiply
    525.60x = 725.76 × 455.94
  4. Step 4: Simplify right side
    525.60x = 330,903.01
  5. Step 5: Solve for x
    x = 330,903.01/525.60
  6. Step 6: Final answer
    x = 629.57

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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.