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Finding the Fourth Proportional to 1,520.13, 2,278.82 and 546

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Solution

The fourth proportional to 1,520.13, 2,278.82 and 546 is: 818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.13 : 2,278.82 = 546 : x
  2. Step 2: Convert to fraction form
    1,520.13/2,278.82 = 546/x
  3. Step 3: Cross multiply
    1,520.13x = 2,278.82 × 546
  4. Step 4: Simplify right side
    1,520.13x = 1,244,232.99
  5. Step 5: Solve for x
    x = 1,244,232.99/1,520.13
  6. Step 6: Final answer
    x = 818.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.