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Finding the Fourth Proportional to 1,136.24, 1,705.38 and 952.31

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Solution

The fourth proportional to 1,136.24, 1,705.38 and 952.31 is: 1,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.24 : 1,705.38 = 952.31 : x
  2. Step 2: Convert to fraction form
    1,136.24/1,705.38 = 952.31/x
  3. Step 3: Cross multiply
    1,136.24x = 1,705.38 × 952.31
  4. Step 4: Simplify right side
    1,136.24x = 1,624,041.90
  5. Step 5: Solve for x
    x = 1,624,041.90/1,136.24
  6. Step 6: Final answer
    x = 1,429.32

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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.