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Finding the Fourth Proportional to 1,133.60, 1,696.82 and 785.16

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Solution

The fourth proportional to 1,133.60, 1,696.82 and 785.16 is: 1,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.60 : 1,696.82 = 785.16 : x
  2. Step 2: Convert to fraction form
    1,133.60/1,696.82 = 785.16/x
  3. Step 3: Cross multiply
    1,133.60x = 1,696.82 × 785.16
  4. Step 4: Simplify right side
    1,133.60x = 1,332,271.27
  5. Step 5: Solve for x
    x = 1,332,271.27/1,133.60
  6. Step 6: Final answer
    x = 1,175.26

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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.