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Finding the Fourth Proportional to 986.09, 1,359.90 and 612.95

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Solution

The fourth proportional to 986.09, 1,359.90 and 612.95 is: 845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.09 : 1,359.90 = 612.95 : x
  2. Step 2: Convert to fraction form
    986.09/1,359.90 = 612.95/x
  3. Step 3: Cross multiply
    986.09x = 1,359.90 × 612.95
  4. Step 4: Simplify right side
    986.09x = 833,543.91
  5. Step 5: Solve for x
    x = 833,543.91/986.09
  6. Step 6: Final answer
    x = 845.31

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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.