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Finding the Fourth Proportional to 525.92, 726.14 and 378.60

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Solution

The fourth proportional to 525.92, 726.14 and 378.60 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.92 : 726.14 = 378.60 : x
  2. Step 2: Convert to fraction form
    525.92/726.14 = 378.60/x
  3. Step 3: Cross multiply
    525.92x = 726.14 × 378.60
  4. Step 4: Simplify right side
    525.92x = 274,916.60
  5. Step 5: Solve for x
    x = 274,916.60/525.92
  6. Step 6: Final answer
    x = 522.73

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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.