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Finding the Fourth Proportional to 986.78, 1,362.05 and 613.58

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Solution

The fourth proportional to 986.78, 1,362.05 and 613.58 is: 846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.78 : 1,362.05 = 613.58 : x
  2. Step 2: Convert to fraction form
    986.78/1,362.05 = 613.58/x
  3. Step 3: Cross multiply
    986.78x = 1,362.05 × 613.58
  4. Step 4: Simplify right side
    986.78x = 835,719.06
  5. Step 5: Solve for x
    x = 835,719.06/986.78
  6. Step 6: Final answer
    x = 846.91

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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.