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Finding the Fourth Proportional to 957.55, 1,321.47 and 537.88

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Solution

The fourth proportional to 957.55, 1,321.47 and 537.88 is: 742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.55 : 1,321.47 = 537.88 : x
  2. Step 2: Convert to fraction form
    957.55/1,321.47 = 537.88/x
  3. Step 3: Cross multiply
    957.55x = 1,321.47 × 537.88
  4. Step 4: Simplify right side
    957.55x = 710,792.28
  5. Step 5: Solve for x
    x = 710,792.28/957.55
  6. Step 6: Final answer
    x = 742.30

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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.