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Finding the Fourth Proportional to 1,136.23, 1,705.00 and 478.05

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Solution

The fourth proportional to 1,136.23, 1,705.00 and 478.05 is: 717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.23 : 1,705.00 = 478.05 : x
  2. Step 2: Convert to fraction form
    1,136.23/1,705.00 = 478.05/x
  3. Step 3: Cross multiply
    1,136.23x = 1,705.00 × 478.05
  4. Step 4: Simplify right side
    1,136.23x = 815,082.94
  5. Step 5: Solve for x
    x = 815,082.94/1,136.23
  6. Step 6: Final answer
    x = 717.36

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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.