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Finding the Fourth Proportional to 1,136.09, 1,703.79 and 746.08

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Solution

The fourth proportional to 1,136.09, 1,703.79 and 746.08 is: 1,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.09 : 1,703.79 = 746.08 : x
  2. Step 2: Convert to fraction form
    1,136.09/1,703.79 = 746.08/x
  3. Step 3: Cross multiply
    1,136.09x = 1,703.79 × 746.08
  4. Step 4: Simplify right side
    1,136.09x = 1,271,159.38
  5. Step 5: Solve for x
    x = 1,271,159.38/1,136.09
  6. Step 6: Final answer
    x = 1,118.89

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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.