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Finding the Fourth Proportional to 640.08, 882.57 and 546.54

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Solution

The fourth proportional to 640.08, 882.57 and 546.54 is: 753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.08 : 882.57 = 546.54 : x
  2. Step 2: Convert to fraction form
    640.08/882.57 = 546.54/x
  3. Step 3: Cross multiply
    640.08x = 882.57 × 546.54
  4. Step 4: Simplify right side
    640.08x = 482,359.81
  5. Step 5: Solve for x
    x = 482,359.81/640.08
  6. Step 6: Final answer
    x = 753.59

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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.