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Finding the Fourth Proportional to 788.84, 1,088.64 and 494.20

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Solution

The fourth proportional to 788.84, 1,088.64 and 494.20 is: 682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.84 : 1,088.64 = 494.20 : x
  2. Step 2: Convert to fraction form
    788.84/1,088.64 = 494.20/x
  3. Step 3: Cross multiply
    788.84x = 1,088.64 × 494.20
  4. Step 4: Simplify right side
    788.84x = 538,007.25
  5. Step 5: Solve for x
    x = 538,007.25/788.84
  6. Step 6: Final answer
    x = 682.02

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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.