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Finding the Fourth Proportional to 856.18, 1,283.24 and 609

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Solution

The fourth proportional to 856.18, 1,283.24 and 609 is: 912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.18 : 1,283.24 = 609 : x
  2. Step 2: Convert to fraction form
    856.18/1,283.24 = 609/x
  3. Step 3: Cross multiply
    856.18x = 1,283.24 × 609
  4. Step 4: Simplify right side
    856.18x = 781,493.16
  5. Step 5: Solve for x
    x = 781,493.16/856.18
  6. Step 6: Final answer
    x = 912.77

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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.