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Finding the Fourth Proportional to 992.90, 1,490.44 and 788.78

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Solution

The fourth proportional to 992.90, 1,490.44 and 788.78 is: 1,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.90 : 1,490.44 = 788.78 : x
  2. Step 2: Convert to fraction form
    992.90/1,490.44 = 788.78/x
  3. Step 3: Cross multiply
    992.90x = 1,490.44 × 788.78
  4. Step 4: Simplify right side
    992.90x = 1,175,629.26
  5. Step 5: Solve for x
    x = 1,175,629.26/992.90
  6. Step 6: Final answer
    x = 1,184.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.