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Finding the Fourth Proportional to 957.98, 1,321.84 and 538.34

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Solution

The fourth proportional to 957.98, 1,321.84 and 538.34 is: 742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.98 : 1,321.84 = 538.34 : x
  2. Step 2: Convert to fraction form
    957.98/1,321.84 = 538.34/x
  3. Step 3: Cross multiply
    957.98x = 1,321.84 × 538.34
  4. Step 4: Simplify right side
    957.98x = 711,599.35
  5. Step 5: Solve for x
    x = 711,599.35/957.98
  6. Step 6: Final answer
    x = 742.81

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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.