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Finding the Fourth Proportional to 525.14, 724.93 and 385.26

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Solution

The fourth proportional to 525.14, 724.93 and 385.26 is: 531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.14 : 724.93 = 385.26 : x
  2. Step 2: Convert to fraction form
    525.14/724.93 = 385.26/x
  3. Step 3: Cross multiply
    525.14x = 724.93 × 385.26
  4. Step 4: Simplify right side
    525.14x = 279,285.57
  5. Step 5: Solve for x
    x = 279,285.57/525.14
  6. Step 6: Final answer
    x = 531.84

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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.