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Finding the Fourth Proportional to 411.40, 546.73 and 411.40

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Solution

The fourth proportional to 411.40, 546.73 and 411.40 is: 546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 546.73 = 411.40 : x
  2. Step 2: Convert to fraction form
    411.40/546.73 = 411.40/x
  3. Step 3: Cross multiply
    411.40x = 546.73 × 411.40
  4. Step 4: Simplify right side
    411.40x = 224,924.72
  5. Step 5: Solve for x
    x = 224,924.72/411.40
  6. Step 6: Final answer
    x = 546.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.