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Finding the Fourth Proportional to 1,120.02, 1,677.48 and 753.78

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Solution

The fourth proportional to 1,120.02, 1,677.48 and 753.78 is: 1,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.02 : 1,677.48 = 753.78 : x
  2. Step 2: Convert to fraction form
    1,120.02/1,677.48 = 753.78/x
  3. Step 3: Cross multiply
    1,120.02x = 1,677.48 × 753.78
  4. Step 4: Simplify right side
    1,120.02x = 1,264,450.87
  5. Step 5: Solve for x
    x = 1,264,450.87/1,120.02
  6. Step 6: Final answer
    x = 1,128.95

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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.