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Finding the Fourth Proportional to 527.06, 727.49 and 352.34

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Solution

The fourth proportional to 527.06, 727.49 and 352.34 is: 486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 727.49 = 352.34 : x
  2. Step 2: Convert to fraction form
    527.06/727.49 = 352.34/x
  3. Step 3: Cross multiply
    527.06x = 727.49 × 352.34
  4. Step 4: Simplify right side
    527.06x = 256,323.83
  5. Step 5: Solve for x
    x = 256,323.83/527.06
  6. Step 6: Final answer
    x = 486.33

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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.