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Finding the Fourth Proportional to 986.49, 1,477.12 and 595.97

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Solution

The fourth proportional to 986.49, 1,477.12 and 595.97 is: 892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.49 : 1,477.12 = 595.97 : x
  2. Step 2: Convert to fraction form
    986.49/1,477.12 = 595.97/x
  3. Step 3: Cross multiply
    986.49x = 1,477.12 × 595.97
  4. Step 4: Simplify right side
    986.49x = 880,310.33
  5. Step 5: Solve for x
    x = 880,310.33/986.49
  6. Step 6: Final answer
    x = 892.37

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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.