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Finding the Fourth Proportional to 856.25, 1,284.41 and 490.87

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Solution

The fourth proportional to 856.25, 1,284.41 and 490.87 is: 736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.25 : 1,284.41 = 490.87 : x
  2. Step 2: Convert to fraction form
    856.25/1,284.41 = 490.87/x
  3. Step 3: Cross multiply
    856.25x = 1,284.41 × 490.87
  4. Step 4: Simplify right side
    856.25x = 630,478.34
  5. Step 5: Solve for x
    x = 630,478.34/856.25
  6. Step 6: Final answer
    x = 736.33

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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.