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Finding the Fourth Proportional to 1,069.90, 1,601.58 and 582.28

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Solution

The fourth proportional to 1,069.90, 1,601.58 and 582.28 is: 871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.90 : 1,601.58 = 582.28 : x
  2. Step 2: Convert to fraction form
    1,069.90/1,601.58 = 582.28/x
  3. Step 3: Cross multiply
    1,069.90x = 1,601.58 × 582.28
  4. Step 4: Simplify right side
    1,069.90x = 932,568.00
  5. Step 5: Solve for x
    x = 932,568.00/1,069.90
  6. Step 6: Final answer
    x = 871.64

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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.