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Finding the Fourth Proportional to 856.72, 1,284.36 and 582.04

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Solution

The fourth proportional to 856.72, 1,284.36 and 582.04 is: 872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.72 : 1,284.36 = 582.04 : x
  2. Step 2: Convert to fraction form
    856.72/1,284.36 = 582.04/x
  3. Step 3: Cross multiply
    856.72x = 1,284.36 × 582.04
  4. Step 4: Simplify right side
    856.72x = 747,548.89
  5. Step 5: Solve for x
    x = 747,548.89/856.72
  6. Step 6: Final answer
    x = 872.57

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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.