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Finding the Fourth Proportional to 527.47, 727.69 and 303.37

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Solution

The fourth proportional to 527.47, 727.69 and 303.37 is: 418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.47 : 727.69 = 303.37 : x
  2. Step 2: Convert to fraction form
    527.47/727.69 = 303.37/x
  3. Step 3: Cross multiply
    527.47x = 727.69 × 303.37
  4. Step 4: Simplify right side
    527.47x = 220,756.74
  5. Step 5: Solve for x
    x = 220,756.74/527.47
  6. Step 6: Final answer
    x = 418.52

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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.