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Finding the Fourth Proportional to 527.74, 728.33 and 303.71

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Solution

The fourth proportional to 527.74, 728.33 and 303.71 is: 419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.74 : 728.33 = 303.71 : x
  2. Step 2: Convert to fraction form
    527.74/728.33 = 303.71/x
  3. Step 3: Cross multiply
    527.74x = 728.33 × 303.71
  4. Step 4: Simplify right side
    527.74x = 221,201.10
  5. Step 5: Solve for x
    x = 221,201.10/527.74
  6. Step 6: Final answer
    x = 419.15

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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.