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Finding the Fourth Proportional to 546.90, 817.19 and 460.50

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Solution

The fourth proportional to 546.90, 817.19 and 460.50 is: 688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.90 : 817.19 = 460.50 : x
  2. Step 2: Convert to fraction form
    546.90/817.19 = 460.50/x
  3. Step 3: Cross multiply
    546.90x = 817.19 × 460.50
  4. Step 4: Simplify right side
    546.90x = 376,313.69
  5. Step 5: Solve for x
    x = 376,313.69/546.90
  6. Step 6: Final answer
    x = 688.09

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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.