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Finding the Fourth Proportional to 1,158.90, 1,736.11 and 644.34

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Solution

The fourth proportional to 1,158.90, 1,736.11 and 644.34 is: 965.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.90 : 1,736.11 = 644.34 : x
  2. Step 2: Convert to fraction form
    1,158.90/1,736.11 = 644.34/x
  3. Step 3: Cross multiply
    1,158.90x = 1,736.11 × 644.34
  4. Step 4: Simplify right side
    1,158.90x = 1,118,645.12
  5. Step 5: Solve for x
    x = 1,118,645.12/1,158.90
  6. Step 6: Final answer
    x = 965.26

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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.