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Finding the Fourth Proportional to 527.92, 787.56 and 441.79

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Solution

The fourth proportional to 527.92, 787.56 and 441.79 is: 659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.92 : 787.56 = 441.79 : x
  2. Step 2: Convert to fraction form
    527.92/787.56 = 441.79/x
  3. Step 3: Cross multiply
    527.92x = 787.56 × 441.79
  4. Step 4: Simplify right side
    527.92x = 347,932.51
  5. Step 5: Solve for x
    x = 347,932.51/527.92
  6. Step 6: Final answer
    x = 659.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.