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Finding the Fourth Proportional to 1,009.75, 1,393.71 and 617.11

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Solution

The fourth proportional to 1,009.75, 1,393.71 and 617.11 is: 851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.75 : 1,393.71 = 617.11 : x
  2. Step 2: Convert to fraction form
    1,009.75/1,393.71 = 617.11/x
  3. Step 3: Cross multiply
    1,009.75x = 1,393.71 × 617.11
  4. Step 4: Simplify right side
    1,009.75x = 860,062.32
  5. Step 5: Solve for x
    x = 860,062.32/1,009.75
  6. Step 6: Final answer
    x = 851.76

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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.