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Finding the Fourth Proportional to 1,083.47, 1,495.01 and 617.63

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Solution

The fourth proportional to 1,083.47, 1,495.01 and 617.63 is: 852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.47 : 1,495.01 = 617.63 : x
  2. Step 2: Convert to fraction form
    1,083.47/1,495.01 = 617.63/x
  3. Step 3: Cross multiply
    1,083.47x = 1,495.01 × 617.63
  4. Step 4: Simplify right side
    1,083.47x = 923,355.55
  5. Step 5: Solve for x
    x = 923,355.55/1,083.47
  6. Step 6: Final answer
    x = 852.22

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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.