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Finding the Fourth Proportional to 993.51, 1,490.30 and 582.23

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Solution

The fourth proportional to 993.51, 1,490.30 and 582.23 is: 873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.51 : 1,490.30 = 582.23 : x
  2. Step 2: Convert to fraction form
    993.51/1,490.30 = 582.23/x
  3. Step 3: Cross multiply
    993.51x = 1,490.30 × 582.23
  4. Step 4: Simplify right side
    993.51x = 867,697.37
  5. Step 5: Solve for x
    x = 867,697.37/993.51
  6. Step 6: Final answer
    x = 873.37

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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.