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Finding the Fourth Proportional to 856.85, 1,182.45 and 463.87

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Solution

The fourth proportional to 856.85, 1,182.45 and 463.87 is: 640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.85 : 1,182.45 = 463.87 : x
  2. Step 2: Convert to fraction form
    856.85/1,182.45 = 463.87/x
  3. Step 3: Cross multiply
    856.85x = 1,182.45 × 463.87
  4. Step 4: Simplify right side
    856.85x = 548,503.08
  5. Step 5: Solve for x
    x = 548,503.08/856.85
  6. Step 6: Final answer
    x = 640.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.