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Finding the Fourth Proportional to 788.64, 1,187.54 and 584.66

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Solution

The fourth proportional to 788.64, 1,187.54 and 584.66 is: 880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.64 : 1,187.54 = 584.66 : x
  2. Step 2: Convert to fraction form
    788.64/1,187.54 = 584.66/x
  3. Step 3: Cross multiply
    788.64x = 1,187.54 × 584.66
  4. Step 4: Simplify right side
    788.64x = 694,298.28
  5. Step 5: Solve for x
    x = 694,298.28/788.64
  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.