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Finding the Fourth Proportional to 856.39, 1,284.59 and 394.04

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Solution

The fourth proportional to 856.39, 1,284.59 and 394.04 is: 591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.39 : 1,284.59 = 394.04 : x
  2. Step 2: Convert to fraction form
    856.39/1,284.59 = 394.04/x
  3. Step 3: Cross multiply
    856.39x = 1,284.59 × 394.04
  4. Step 4: Simplify right side
    856.39x = 506,184.04
  5. Step 5: Solve for x
    x = 506,184.04/856.39
  6. Step 6: Final answer
    x = 591.07

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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.