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Finding the Fourth Proportional to 525.59, 725.78 and 386.50

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Solution

The fourth proportional to 525.59, 725.78 and 386.50 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.59 : 725.78 = 386.50 : x
  2. Step 2: Convert to fraction form
    525.59/725.78 = 386.50/x
  3. Step 3: Cross multiply
    525.59x = 725.78 × 386.50
  4. Step 4: Simplify right side
    525.59x = 280,513.97
  5. Step 5: Solve for x
    x = 280,513.97/525.59
  6. Step 6: Final answer
    x = 533.71

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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.