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Finding the Fourth Proportional to 689.20, 949.60 and 467.77

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Solution

The fourth proportional to 689.20, 949.60 and 467.77 is: 644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.20 : 949.60 = 467.77 : x
  2. Step 2: Convert to fraction form
    689.20/949.60 = 467.77/x
  3. Step 3: Cross multiply
    689.20x = 949.60 × 467.77
  4. Step 4: Simplify right side
    689.20x = 444,189.64
  5. Step 5: Solve for x
    x = 444,189.64/689.20
  6. Step 6: Final answer
    x = 644.50

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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.