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Finding the Fourth Proportional to 856.64, 1,182.17 and 463.67

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Solution

The fourth proportional to 856.64, 1,182.17 and 463.67 is: 639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.64 : 1,182.17 = 463.67 : x
  2. Step 2: Convert to fraction form
    856.64/1,182.17 = 463.67/x
  3. Step 3: Cross multiply
    856.64x = 1,182.17 × 463.67
  4. Step 4: Simplify right side
    856.64x = 548,136.76
  5. Step 5: Solve for x
    x = 548,136.76/856.64
  6. Step 6: Final answer
    x = 639.87

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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.