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Finding the Fourth Proportional to 788.27, 1,087.84 and 434.20

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Solution

The fourth proportional to 788.27, 1,087.84 and 434.20 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.27 : 1,087.84 = 434.20 : x
  2. Step 2: Convert to fraction form
    788.27/1,087.84 = 434.20/x
  3. Step 3: Cross multiply
    788.27x = 1,087.84 × 434.20
  4. Step 4: Simplify right side
    788.27x = 472,340.13
  5. Step 5: Solve for x
    x = 472,340.13/788.27
  6. Step 6: Final answer
    x = 599.21

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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.