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Finding the Fourth Proportional to 957.46, 1,434.98 and 463.56

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Solution

The fourth proportional to 957.46, 1,434.98 and 463.56 is: 694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.46 : 1,434.98 = 463.56 : x
  2. Step 2: Convert to fraction form
    957.46/1,434.98 = 463.56/x
  3. Step 3: Cross multiply
    957.46x = 1,434.98 × 463.56
  4. Step 4: Simplify right side
    957.46x = 665,199.33
  5. Step 5: Solve for x
    x = 665,199.33/957.46
  6. Step 6: Final answer
    x = 694.75

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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.