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Finding the Fourth Proportional to 994.20, 1,490.80 and 583.52

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Solution

The fourth proportional to 994.20, 1,490.80 and 583.52 is: 874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.20 : 1,490.80 = 583.52 : x
  2. Step 2: Convert to fraction form
    994.20/1,490.80 = 583.52/x
  3. Step 3: Cross multiply
    994.20x = 1,490.80 × 583.52
  4. Step 4: Simplify right side
    994.20x = 869,911.62
  5. Step 5: Solve for x
    x = 869,911.62/994.20
  6. Step 6: Final answer
    x = 874.99

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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.