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Finding the Fourth Proportional to 1,175.50, 1,622.28 and 709.84

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Solution

The fourth proportional to 1,175.50, 1,622.28 and 709.84 is: 979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.50 : 1,622.28 = 709.84 : x
  2. Step 2: Convert to fraction form
    1,175.50/1,622.28 = 709.84/x
  3. Step 3: Cross multiply
    1,175.50x = 1,622.28 × 709.84
  4. Step 4: Simplify right side
    1,175.50x = 1,151,559.24
  5. Step 5: Solve for x
    x = 1,151,559.24/1,175.50
  6. Step 6: Final answer
    x = 979.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.