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Finding the Fourth Proportional to 788.76, 1,089 and 494.28

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Solution

The fourth proportional to 788.76, 1,089 and 494.28 is: 682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,089 = 494.28 : x
  2. Step 2: Convert to fraction form
    788.76/1,089 = 494.28/x
  3. Step 3: Cross multiply
    788.76x = 1,089 × 494.28
  4. Step 4: Simplify right side
    788.76x = 538,270.92
  5. Step 5: Solve for x
    x = 538,270.92/788.76
  6. Step 6: Final answer
    x = 682.43

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Double scale
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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.