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Finding the Fourth Proportional to 788.34, 1,187.13 and 584.36

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Solution

The fourth proportional to 788.34, 1,187.13 and 584.36 is: 879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.34 : 1,187.13 = 584.36 : x
  2. Step 2: Convert to fraction form
    788.34/1,187.13 = 584.36/x
  3. Step 3: Cross multiply
    788.34x = 1,187.13 × 584.36
  4. Step 4: Simplify right side
    788.34x = 693,711.29
  5. Step 5: Solve for x
    x = 693,711.29/788.34
  6. Step 6: Final answer
    x = 879.96

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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.