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Finding the Fourth Proportional to 856.91, 1,284.91 and 395.04

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Solution

The fourth proportional to 856.91, 1,284.91 and 395.04 is: 592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.91 : 1,284.91 = 395.04 : x
  2. Step 2: Convert to fraction form
    856.91/1,284.91 = 395.04/x
  3. Step 3: Cross multiply
    856.91x = 1,284.91 × 395.04
  4. Step 4: Simplify right side
    856.91x = 507,589.86
  5. Step 5: Solve for x
    x = 507,589.86/856.91
  6. Step 6: Final answer
    x = 592.35

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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.