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Finding the Fourth Proportional to 856.43, 1,284.54 and 369.08

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Solution

The fourth proportional to 856.43, 1,284.54 and 369.08 is: 553.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.43 : 1,284.54 = 369.08 : x
  2. Step 2: Convert to fraction form
    856.43/1,284.54 = 369.08/x
  3. Step 3: Cross multiply
    856.43x = 1,284.54 × 369.08
  4. Step 4: Simplify right side
    856.43x = 474,098.02
  5. Step 5: Solve for x
    x = 474,098.02/856.43
  6. Step 6: Final answer
    x = 553.57

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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.