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Finding the Fourth Proportional to 1,136.58, 1,705.37 and 520.17

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Solution

The fourth proportional to 1,136.58, 1,705.37 and 520.17 is: 780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.58 : 1,705.37 = 520.17 : x
  2. Step 2: Convert to fraction form
    1,136.58/1,705.37 = 520.17/x
  3. Step 3: Cross multiply
    1,136.58x = 1,705.37 × 520.17
  4. Step 4: Simplify right side
    1,136.58x = 887,082.31
  5. Step 5: Solve for x
    x = 887,082.31/1,136.58
  6. Step 6: Final answer
    x = 780.48

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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.