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Finding the Fourth Proportional to 957.72, 1,437 and 341.88

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Solution

The fourth proportional to 957.72, 1,437 and 341.88 is: 512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.72 : 1,437 = 341.88 : x
  2. Step 2: Convert to fraction form
    957.72/1,437 = 341.88/x
  3. Step 3: Cross multiply
    957.72x = 1,437 × 341.88
  4. Step 4: Simplify right side
    957.72x = 491,281.56
  5. Step 5: Solve for x
    x = 491,281.56/957.72
  6. Step 6: Final answer
    x = 512.97

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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.