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Finding the Fourth Proportional to 957.91, 1,321.75 and 538.25

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Solution

The fourth proportional to 957.91, 1,321.75 and 538.25 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.91 : 1,321.75 = 538.25 : x
  2. Step 2: Convert to fraction form
    957.91/1,321.75 = 538.25/x
  3. Step 3: Cross multiply
    957.91x = 1,321.75 × 538.25
  4. Step 4: Simplify right side
    957.91x = 711,433.90
  5. Step 5: Solve for x
    x = 711,433.90/957.91
  6. Step 6: Final answer
    x = 742.70

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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.