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Finding the Fourth Proportional to 546.34, 816.32 and 527.21

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Solution

The fourth proportional to 546.34, 816.32 and 527.21 is: 787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.34 : 816.32 = 527.21 : x
  2. Step 2: Convert to fraction form
    546.34/816.32 = 527.21/x
  3. Step 3: Cross multiply
    546.34x = 816.32 × 527.21
  4. Step 4: Simplify right side
    546.34x = 430,365.35
  5. Step 5: Solve for x
    x = 430,365.35/546.34
  6. Step 6: Final answer
    x = 787.72

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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.