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Finding the Fourth Proportional to 689.12, 949.50 and 467.68

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Solution

The fourth proportional to 689.12, 949.50 and 467.68 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.12 : 949.50 = 467.68 : x
  2. Step 2: Convert to fraction form
    689.12/949.50 = 467.68/x
  3. Step 3: Cross multiply
    689.12x = 949.50 × 467.68
  4. Step 4: Simplify right side
    689.12x = 444,062.16
  5. Step 5: Solve for x
    x = 444,062.16/689.12
  6. Step 6: Final answer
    x = 644.39

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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.