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Finding the Fourth Proportional to 525.56, 724.88 and 385.63

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Solution

The fourth proportional to 525.56, 724.88 and 385.63 is: 531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.56 : 724.88 = 385.63 : x
  2. Step 2: Convert to fraction form
    525.56/724.88 = 385.63/x
  3. Step 3: Cross multiply
    525.56x = 724.88 × 385.63
  4. Step 4: Simplify right side
    525.56x = 279,529.92
  5. Step 5: Solve for x
    x = 279,529.92/525.56
  6. Step 6: Final answer
    x = 531.87

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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.