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Finding the Fourth Proportional to 941.44, 1,410.39 and 648.58

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Solution

The fourth proportional to 941.44, 1,410.39 and 648.58 is: 971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.44 : 1,410.39 = 648.58 : x
  2. Step 2: Convert to fraction form
    941.44/1,410.39 = 648.58/x
  3. Step 3: Cross multiply
    941.44x = 1,410.39 × 648.58
  4. Step 4: Simplify right side
    941.44x = 914,752.01
  5. Step 5: Solve for x
    x = 914,752.01/941.44
  6. Step 6: Final answer
    x = 971.66

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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.