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Finding the Fourth Proportional to 1,136.80, 1,706.64 and 894.16

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Solution

The fourth proportional to 1,136.80, 1,706.64 and 894.16 is: 1,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.80 : 1,706.64 = 894.16 : x
  2. Step 2: Convert to fraction form
    1,136.80/1,706.64 = 894.16/x
  3. Step 3: Cross multiply
    1,136.80x = 1,706.64 × 894.16
  4. Step 4: Simplify right side
    1,136.80x = 1,526,009.22
  5. Step 5: Solve for x
    x = 1,526,009.22/1,136.80
  6. Step 6: Final answer
    x = 1,342.37

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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.