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Finding the Fourth Proportional to 525.49, 789.04 and 352.35

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Solution

The fourth proportional to 525.49, 789.04 and 352.35 is: 529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.49 : 789.04 = 352.35 : x
  2. Step 2: Convert to fraction form
    525.49/789.04 = 352.35/x
  3. Step 3: Cross multiply
    525.49x = 789.04 × 352.35
  4. Step 4: Simplify right side
    525.49x = 278,018.68
  5. Step 5: Solve for x
    x = 278,018.68/525.49
  6. Step 6: Final answer
    x = 529.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.