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Finding the Fourth Proportional to 1,161.36, 1,602.69 and 650.34

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Solution

The fourth proportional to 1,161.36, 1,602.69 and 650.34 is: 897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.36 : 1,602.69 = 650.34 : x
  2. Step 2: Convert to fraction form
    1,161.36/1,602.69 = 650.34/x
  3. Step 3: Cross multiply
    1,161.36x = 1,602.69 × 650.34
  4. Step 4: Simplify right side
    1,161.36x = 1,042,290.16
  5. Step 5: Solve for x
    x = 1,042,290.16/1,161.36
  6. Step 6: Final answer
    x = 897.47

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1.5x scale

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.