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Finding the Fourth Proportional to 1,102.95, 1,652.22 and 546.80

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Solution

The fourth proportional to 1,102.95, 1,652.22 and 546.80 is: 819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.95 : 1,652.22 = 546.80 : x
  2. Step 2: Convert to fraction form
    1,102.95/1,652.22 = 546.80/x
  3. Step 3: Cross multiply
    1,102.95x = 1,652.22 × 546.80
  4. Step 4: Simplify right side
    1,102.95x = 903,425.63
  5. Step 5: Solve for x
    x = 903,425.63/1,102.95
  6. Step 6: Final answer
    x = 819.10

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