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Finding the Fourth Proportional to 752.77, 1,128.30 and 427.60

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Solution

The fourth proportional to 752.77, 1,128.30 and 427.60 is: 640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.77 : 1,128.30 = 427.60 : x
  2. Step 2: Convert to fraction form
    752.77/1,128.30 = 427.60/x
  3. Step 3: Cross multiply
    752.77x = 1,128.30 × 427.60
  4. Step 4: Simplify right side
    752.77x = 482,461.08
  5. Step 5: Solve for x
    x = 482,461.08/752.77
  6. Step 6: Final answer
    x = 640.91

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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.