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Finding the Fourth Proportional to 1,130.97, 1,696.47 and 643.44

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Solution

The fourth proportional to 1,130.97, 1,696.47 and 643.44 is: 965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.97 : 1,696.47 = 643.44 : x
  2. Step 2: Convert to fraction form
    1,130.97/1,696.47 = 643.44/x
  3. Step 3: Cross multiply
    1,130.97x = 1,696.47 × 643.44
  4. Step 4: Simplify right side
    1,130.97x = 1,091,576.66
  5. Step 5: Solve for x
    x = 1,091,576.66/1,130.97
  6. Step 6: Final answer
    x = 965.17

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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.