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Finding the Fourth Proportional to 527.12, 727.16 and 352.72

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Solution

The fourth proportional to 527.12, 727.16 and 352.72 is: 486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.12 : 727.16 = 352.72 : x
  2. Step 2: Convert to fraction form
    527.12/727.16 = 352.72/x
  3. Step 3: Cross multiply
    527.12x = 727.16 × 352.72
  4. Step 4: Simplify right side
    527.12x = 256,483.88
  5. Step 5: Solve for x
    x = 256,483.88/527.12
  6. Step 6: Final answer
    x = 486.58

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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.