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Finding the Fourth Proportional to 856.20, 1,181.55 and 463.22

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Solution

The fourth proportional to 856.20, 1,181.55 and 463.22 is: 639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.20 : 1,181.55 = 463.22 : x
  2. Step 2: Convert to fraction form
    856.20/1,181.55 = 463.22/x
  3. Step 3: Cross multiply
    856.20x = 1,181.55 × 463.22
  4. Step 4: Simplify right side
    856.20x = 547,315.90
  5. Step 5: Solve for x
    x = 547,315.90/856.20
  6. Step 6: Final answer
    x = 639.24

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1.5x scale

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.