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Finding the Fourth Proportional to 994.83, 1,490.20 and 582.72

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Solution

The fourth proportional to 994.83, 1,490.20 and 582.72 is: 872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.83 : 1,490.20 = 582.72 : x
  2. Step 2: Convert to fraction form
    994.83/1,490.20 = 582.72/x
  3. Step 3: Cross multiply
    994.83x = 1,490.20 × 582.72
  4. Step 4: Simplify right side
    994.83x = 868,364.00
  5. Step 5: Solve for x
    x = 868,364.00/994.83
  6. Step 6: Final answer
    x = 872.88

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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.