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Finding the Fourth Proportional to 527.21, 787.31 and 521.48

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Solution

The fourth proportional to 527.21, 787.31 and 521.48 is: 778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.21 : 787.31 = 521.48 : x
  2. Step 2: Convert to fraction form
    527.21/787.31 = 521.48/x
  3. Step 3: Cross multiply
    527.21x = 787.31 × 521.48
  4. Step 4: Simplify right side
    527.21x = 410,563.81
  5. Step 5: Solve for x
    x = 410,563.81/527.21
  6. Step 6: Final answer
    x = 778.76

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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.