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Finding the Fourth Proportional to 856.90, 1,284.81 and 549.37

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Solution

The fourth proportional to 856.90, 1,284.81 and 549.37 is: 823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.90 : 1,284.81 = 549.37 : x
  2. Step 2: Convert to fraction form
    856.90/1,284.81 = 549.37/x
  3. Step 3: Cross multiply
    856.90x = 1,284.81 × 549.37
  4. Step 4: Simplify right side
    856.90x = 705,836.07
  5. Step 5: Solve for x
    x = 705,836.07/856.90
  6. Step 6: Final answer
    x = 823.71

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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.