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Finding the Fourth Proportional to 957.22, 1,435.82 and 307.96

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Solution

The fourth proportional to 957.22, 1,435.82 and 307.96 is: 461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.22 : 1,435.82 = 307.96 : x
  2. Step 2: Convert to fraction form
    957.22/1,435.82 = 307.96/x
  3. Step 3: Cross multiply
    957.22x = 1,435.82 × 307.96
  4. Step 4: Simplify right side
    957.22x = 442,167.95
  5. Step 5: Solve for x
    x = 442,167.95/957.22
  6. Step 6: Final answer
    x = 461.93

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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.