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Finding the Fourth Proportional to 952.04, 1,428.36 and 490.16

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Solution

The fourth proportional to 952.04, 1,428.36 and 490.16 is: 735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.04 : 1,428.36 = 490.16 : x
  2. Step 2: Convert to fraction form
    952.04/1,428.36 = 490.16/x
  3. Step 3: Cross multiply
    952.04x = 1,428.36 × 490.16
  4. Step 4: Simplify right side
    952.04x = 700,124.94
  5. Step 5: Solve for x
    x = 700,124.94/952.04
  6. Step 6: Final answer
    x = 735.39

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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.