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Finding the Fourth Proportional to 994.59, 1,490.91 and 583.65

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Solution

The fourth proportional to 994.59, 1,490.91 and 583.65 is: 874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.59 : 1,490.91 = 583.65 : x
  2. Step 2: Convert to fraction form
    994.59/1,490.91 = 583.65/x
  3. Step 3: Cross multiply
    994.59x = 1,490.91 × 583.65
  4. Step 4: Simplify right side
    994.59x = 870,169.62
  5. Step 5: Solve for x
    x = 870,169.62/994.59
  6. Step 6: Final answer
    x = 874.90

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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.