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Finding the Fourth Proportional to 627.30, 864.76 and 440.21

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Solution

The fourth proportional to 627.30, 864.76 and 440.21 is: 606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.30 : 864.76 = 440.21 : x
  2. Step 2: Convert to fraction form
    627.30/864.76 = 440.21/x
  3. Step 3: Cross multiply
    627.30x = 864.76 × 440.21
  4. Step 4: Simplify right side
    627.30x = 380,676.00
  5. Step 5: Solve for x
    x = 380,676.00/627.30
  6. Step 6: Final answer
    x = 606.85

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.