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Finding the Fourth Proportional to 693.44, 957.39 and 431.81

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Solution

The fourth proportional to 693.44, 957.39 and 431.81 is: 596.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.44 : 957.39 = 431.81 : x
  2. Step 2: Convert to fraction form
    693.44/957.39 = 431.81/x
  3. Step 3: Cross multiply
    693.44x = 957.39 × 431.81
  4. Step 4: Simplify right side
    693.44x = 413,410.58
  5. Step 5: Solve for x
    x = 413,410.58/693.44
  6. Step 6: Final answer
    x = 596.17

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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.