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Finding the Fourth Proportional to 527.55, 727.81 and 317.64

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Solution

The fourth proportional to 527.55, 727.81 and 317.64 is: 438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.55 : 727.81 = 317.64 : x
  2. Step 2: Convert to fraction form
    527.55/727.81 = 317.64/x
  3. Step 3: Cross multiply
    527.55x = 727.81 × 317.64
  4. Step 4: Simplify right side
    527.55x = 231,181.57
  5. Step 5: Solve for x
    x = 231,181.57/527.55
  6. Step 6: Final answer
    x = 438.22

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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.