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Finding the Fourth Proportional to 788.63, 1,187.54 and 584.64

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Solution

The fourth proportional to 788.63, 1,187.54 and 584.64 is: 880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.63 : 1,187.54 = 584.64 : x
  2. Step 2: Convert to fraction form
    788.63/1,187.54 = 584.64/x
  3. Step 3: Cross multiply
    788.63x = 1,187.54 × 584.64
  4. Step 4: Simplify right side
    788.63x = 694,283.39
  5. Step 5: Solve for x
    x = 694,283.39/788.63
  6. Step 6: Final answer
    x = 880.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.