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Finding the Fourth Proportional to 525.29, 724.59 and 394.07

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Solution

The fourth proportional to 525.29, 724.59 and 394.07 is: 543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.29 : 724.59 = 394.07 : x
  2. Step 2: Convert to fraction form
    525.29/724.59 = 394.07/x
  3. Step 3: Cross multiply
    525.29x = 724.59 × 394.07
  4. Step 4: Simplify right side
    525.29x = 285,535.56
  5. Step 5: Solve for x
    x = 285,535.56/525.29
  6. Step 6: Final answer
    x = 543.58

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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.