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Finding the Fourth Proportional to 1,039.88, 1,435.44 and 641.60

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Solution

The fourth proportional to 1,039.88, 1,435.44 and 641.60 is: 885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.88 : 1,435.44 = 641.60 : x
  2. Step 2: Convert to fraction form
    1,039.88/1,435.44 = 641.60/x
  3. Step 3: Cross multiply
    1,039.88x = 1,435.44 × 641.60
  4. Step 4: Simplify right side
    1,039.88x = 920,978.30
  5. Step 5: Solve for x
    x = 920,978.30/1,039.88
  6. Step 6: Final answer
    x = 885.66

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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.