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Finding the Fourth Proportional to 957.31, 1,434.72 and 401.39

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Solution

The fourth proportional to 957.31, 1,434.72 and 401.39 is: 601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.31 : 1,434.72 = 401.39 : x
  2. Step 2: Convert to fraction form
    957.31/1,434.72 = 401.39/x
  3. Step 3: Cross multiply
    957.31x = 1,434.72 × 401.39
  4. Step 4: Simplify right side
    957.31x = 575,875.09
  5. Step 5: Solve for x
    x = 575,875.09/957.31
  6. Step 6: Final answer
    x = 601.56

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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.