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Finding the Fourth Proportional to 690.41, 1,036.22 and 582.27

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Solution

The fourth proportional to 690.41, 1,036.22 and 582.27 is: 873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.41 : 1,036.22 = 582.27 : x
  2. Step 2: Convert to fraction form
    690.41/1,036.22 = 582.27/x
  3. Step 3: Cross multiply
    690.41x = 1,036.22 × 582.27
  4. Step 4: Simplify right side
    690.41x = 603,359.82
  5. Step 5: Solve for x
    x = 603,359.82/690.41
  6. Step 6: Final answer
    x = 873.92

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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.