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Finding the Fourth Proportional to 856.16, 1,283.78 and 394.29

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Solution

The fourth proportional to 856.16, 1,283.78 and 394.29 is: 591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.16 : 1,283.78 = 394.29 : x
  2. Step 2: Convert to fraction form
    856.16/1,283.78 = 394.29/x
  3. Step 3: Cross multiply
    856.16x = 1,283.78 × 394.29
  4. Step 4: Simplify right side
    856.16x = 506,177.26
  5. Step 5: Solve for x
    x = 506,177.26/856.16
  6. Step 6: Final answer
    x = 591.22

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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.