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Finding the Fourth Proportional to 525.92, 725.81 and 304.94

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Solution

The fourth proportional to 525.92, 725.81 and 304.94 is: 420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.92 : 725.81 = 304.94 : x
  2. Step 2: Convert to fraction form
    525.92/725.81 = 304.94/x
  3. Step 3: Cross multiply
    525.92x = 725.81 × 304.94
  4. Step 4: Simplify right side
    525.92x = 221,328.79
  5. Step 5: Solve for x
    x = 221,328.79/525.92
  6. Step 6: Final answer
    x = 420.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.