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Finding the Fourth Proportional to 957.01, 1,435.70 and 409.18

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Solution

The fourth proportional to 957.01, 1,435.70 and 409.18 is: 613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.01 : 1,435.70 = 409.18 : x
  2. Step 2: Convert to fraction form
    957.01/1,435.70 = 409.18/x
  3. Step 3: Cross multiply
    957.01x = 1,435.70 × 409.18
  4. Step 4: Simplify right side
    957.01x = 587,459.73
  5. Step 5: Solve for x
    x = 587,459.73/957.01
  6. Step 6: Final answer
    x = 613.85

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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.