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Finding the Fourth Proportional to 525.06, 724.23 and 378.09

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Solution

The fourth proportional to 525.06, 724.23 and 378.09 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.06 : 724.23 = 378.09 : x
  2. Step 2: Convert to fraction form
    525.06/724.23 = 378.09/x
  3. Step 3: Cross multiply
    525.06x = 724.23 × 378.09
  4. Step 4: Simplify right side
    525.06x = 273,824.12
  5. Step 5: Solve for x
    x = 273,824.12/525.06
  6. Step 6: Final answer
    x = 521.51

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1.5x scale

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.