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Finding the Fourth Proportional to 1,083.53, 1,495.31 and 617.81

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Solution

The fourth proportional to 1,083.53, 1,495.31 and 617.81 is: 852.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.53 : 1,495.31 = 617.81 : x
  2. Step 2: Convert to fraction form
    1,083.53/1,495.31 = 617.81/x
  3. Step 3: Cross multiply
    1,083.53x = 1,495.31 × 617.81
  4. Step 4: Simplify right side
    1,083.53x = 923,817.47
  5. Step 5: Solve for x
    x = 923,817.47/1,083.53
  6. Step 6: Final answer
    x = 852.60

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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.