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Finding the Fourth Proportional to 525.49, 723.76 and 455.55

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Solution

The fourth proportional to 525.49, 723.76 and 455.55 is: 627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.49 : 723.76 = 455.55 : x
  2. Step 2: Convert to fraction form
    525.49/723.76 = 455.55/x
  3. Step 3: Cross multiply
    525.49x = 723.76 × 455.55
  4. Step 4: Simplify right side
    525.49x = 329,708.33
  5. Step 5: Solve for x
    x = 329,708.33/525.49
  6. Step 6: Final answer
    x = 627.43

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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.