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Finding the Fourth Proportional to 527.25, 727.57 and 317.44

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Solution

The fourth proportional to 527.25, 727.57 and 317.44 is: 438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 727.57 = 317.44 : x
  2. Step 2: Convert to fraction form
    527.25/727.57 = 317.44/x
  3. Step 3: Cross multiply
    527.25x = 727.57 × 317.44
  4. Step 4: Simplify right side
    527.25x = 230,957.21
  5. Step 5: Solve for x
    x = 230,957.21/527.25
  6. Step 6: Final answer
    x = 438.04

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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.