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Finding the Fourth Proportional to 957.49, 1,435.01 and 409.12

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Solution

The fourth proportional to 957.49, 1,435.01 and 409.12 is: 613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.49 : 1,435.01 = 409.12 : x
  2. Step 2: Convert to fraction form
    957.49/1,435.01 = 409.12/x
  3. Step 3: Cross multiply
    957.49x = 1,435.01 × 409.12
  4. Step 4: Simplify right side
    957.49x = 587,088.73
  5. Step 5: Solve for x
    x = 587,088.73/957.49
  6. Step 6: Final answer
    x = 613.16

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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.