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Finding the Fourth Proportional to 638.58, 957.70 and 433.09

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Solution

The fourth proportional to 638.58, 957.70 and 433.09 is: 649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.58 : 957.70 = 433.09 : x
  2. Step 2: Convert to fraction form
    638.58/957.70 = 433.09/x
  3. Step 3: Cross multiply
    638.58x = 957.70 × 433.09
  4. Step 4: Simplify right side
    638.58x = 414,770.29
  5. Step 5: Solve for x
    x = 414,770.29/638.58
  6. Step 6: Final answer
    x = 649.52

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Double scale
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1.5x scale

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.