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Finding the Fourth Proportional to 1,368.55, 2,052.77 and 546.60

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Solution

The fourth proportional to 1,368.55, 2,052.77 and 546.60 is: 819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.55 : 2,052.77 = 546.60 : x
  2. Step 2: Convert to fraction form
    1,368.55/2,052.77 = 546.60/x
  3. Step 3: Cross multiply
    1,368.55x = 2,052.77 × 546.60
  4. Step 4: Simplify right side
    1,368.55x = 1,122,044.08
  5. Step 5: Solve for x
    x = 1,122,044.08/1,368.55
  6. Step 6: Final answer
    x = 819.88

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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.