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Finding the Fourth Proportional to 856.78, 1,284.26 and 582.19

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Solution

The fourth proportional to 856.78, 1,284.26 and 582.19 is: 872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.78 : 1,284.26 = 582.19 : x
  2. Step 2: Convert to fraction form
    856.78/1,284.26 = 582.19/x
  3. Step 3: Cross multiply
    856.78x = 1,284.26 × 582.19
  4. Step 4: Simplify right side
    856.78x = 747,677.21
  5. Step 5: Solve for x
    x = 747,677.21/856.78
  6. Step 6: Final answer
    x = 872.66

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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.