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Finding the Fourth Proportional to 527.47, 727.83 and 303.42

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Solution

The fourth proportional to 527.47, 727.83 and 303.42 is: 418.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.47 : 727.83 = 303.42 : x
  2. Step 2: Convert to fraction form
    527.47/727.83 = 303.42/x
  3. Step 3: Cross multiply
    527.47x = 727.83 × 303.42
  4. Step 4: Simplify right side
    527.47x = 220,838.18
  5. Step 5: Solve for x
    x = 220,838.18/527.47
  6. Step 6: Final answer
    x = 418.67

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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.