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Finding the Fourth Proportional to 870.82, 1,199.73 and 649.33

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Solution

The fourth proportional to 870.82, 1,199.73 and 649.33 is: 894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.82 : 1,199.73 = 649.33 : x
  2. Step 2: Convert to fraction form
    870.82/1,199.73 = 649.33/x
  3. Step 3: Cross multiply
    870.82x = 1,199.73 × 649.33
  4. Step 4: Simplify right side
    870.82x = 779,020.68
  5. Step 5: Solve for x
    x = 779,020.68/870.82
  6. Step 6: Final answer
    x = 894.58

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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.