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Finding the Fourth Proportional to 527.71, 728.40 and 341.21

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Solution

The fourth proportional to 527.71, 728.40 and 341.21 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.71 : 728.40 = 341.21 : x
  2. Step 2: Convert to fraction form
    527.71/728.40 = 341.21/x
  3. Step 3: Cross multiply
    527.71x = 728.40 × 341.21
  4. Step 4: Simplify right side
    527.71x = 248,533.72
  5. Step 5: Solve for x
    x = 248,533.72/527.71
  6. Step 6: Final answer
    x = 470.97

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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.