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Finding the Fourth Proportional to 840.73, 1,159.60 and 648.39

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Solution

The fourth proportional to 840.73, 1,159.60 and 648.39 is: 894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.73 : 1,159.60 = 648.39 : x
  2. Step 2: Convert to fraction form
    840.73/1,159.60 = 648.39/x
  3. Step 3: Cross multiply
    840.73x = 1,159.60 × 648.39
  4. Step 4: Simplify right side
    840.73x = 751,867.25
  5. Step 5: Solve for x
    x = 751,867.25/840.73
  6. Step 6: Final answer
    x = 894.30

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1.5x scale

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.